id stringlengths 39 39 | setting_key stringclasses 1
value | setting_name stringclasses 1
value | messages listlengths 1 1 | ground_truth stringclasses 167
values | dataset stringclasses 1
value |
|---|---|---|---|---|---|
comp_parametric_intersection_train_0400 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {p: 3, f: 5}, shuffle the letters in the word, what is the probability of no letter 'p' occupy any of their original positions?\nIf the probability can be written as th... | 43 | math |
comp_parametric_intersection_train_0401 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {o: 3, z: 4}, shuffle the letters in the word, what is the probability of no letter 'z' occupy any of their original positions?\nIf the probability can be written as th... | 41 | math |
comp_parametric_intersection_train_0402 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {m: 3, j: 4}, shuffle the letters in the word, what is the probability of no letter 'j' occupy any of their original positions?\nIf the probability can be written as th... | 41 | math |
comp_parametric_intersection_train_0403 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {a: 2, g: 2, f: 4}, shuffle the letters in the word, what is the probability of no letter 'a' occupy any of their original positions?\nIf the probability can be written... | 12 | math |
comp_parametric_intersection_train_0404 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {j: 2, i: 4}, shuffle the letters in the word, what is the probability of no letter 'j' occupy any of their original positions?\nIf the probability can be written as th... | 23 | math |
comp_parametric_intersection_train_0405 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {v: 1, y: 2, l: 1, a: 2}, shuffle the letters in the word, what is the probability of no letter 'a' occupy any of their original positions?\nIf the probability can be w... | 23 | math |
comp_parametric_intersection_train_0406 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {b: 4, d: 3}, shuffle the letters in the word, what is the probability of no letter 'b' occupy any of their original positions?\nIf the probability can be written as th... | 41 | math |
comp_parametric_intersection_train_0407 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {p: 1, a: 3, e: 3}, shuffle the letters in the word, what is the probability of no letter 'a' occupy any of their original positions?\nIf the probability can be written... | 48 | math |
comp_parametric_intersection_train_0408 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {o: 3, f: 2, a: 2}, shuffle the letters in the word, what is the probability of no letter 'a' occupy any of their original positions?\nIf the probability can be written... | 34 | math |
comp_parametric_intersection_train_0409 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {n: 2, g: 4, v: 2}, shuffle the letters in the word, what is the probability of no letter 'g' occupy any of their original positions?\nIf the probability can be written... | 19 | math |
comp_parametric_intersection_train_0410 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {c: 1, s: 2, a: 3, y: 1}, shuffle the letters in the word, what is the probability of no letter 'y' occupy any of their original positions?\nIf the probability can be w... | 13 | math |
comp_parametric_intersection_train_0411 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {c: 2, h: 1, n: 1, u: 2}, shuffle the letters in the word, what is the probability of no letter 'c' occupy any of their original positions?\nIf the probability can be w... | 8 | math |
comp_parametric_intersection_train_0412 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {f: 4, s: 3}, shuffle the letters in the word, what is the probability of no letter 's' occupy any of their original positions?\nIf the probability can be written as th... | 51 | math |
comp_parametric_intersection_train_0413 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {m: 4, f: 2}, shuffle the letters in the word, what is the probability of no letter 'f' occupy any of their original positions?\nIf the probability can be written as th... | 8 | math |
comp_parametric_intersection_train_0414 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {h: 2, d: 1, m: 1, t: 3}, shuffle the letters in the word, what is the probability of no letter 'm' occupy any of their original positions?\nIf the probability can be w... | 13 | math |
comp_parametric_intersection_train_0415 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {b: 5, i: 3}, shuffle the letters in the word, what is the probability of no letter 'i' occupy any of their original positions?\nIf the probability can be written as th... | 41 | math |
comp_parametric_intersection_train_0416 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {z: 2, i: 1, m: 4}, shuffle the letters in the word, what is the probability of no letter 'i' occupy any of their original positions?\nIf the probability can be written... | 13 | math |
comp_parametric_intersection_train_0417 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {e: 3, i: 4}, shuffle the letters in the word, what is the probability of no letter 'i' occupy any of their original positions?\nIf the probability can be written as th... | 44 | math |
comp_parametric_intersection_train_0418 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {j: 5, b: 1, f: 2}, shuffle the letters in the word, what is the probability of no letter 'f' occupy any of their original positions?\nIf the probability can be written... | 12 | math |
comp_parametric_intersection_train_0419 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {t: 4, r: 1, n: 3}, shuffle the letters in the word, what is the probability of no letter 'r' occupy any of their original positions?\nIf the probability can be written... | 15 | math |
comp_parametric_intersection_train_0420 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {m: 2, g: 4, p: 1}, shuffle the letters in the word, what is the probability of no letter 'm' occupy any of their original positions?\nIf the probability can be written... | 5 | math |
comp_parametric_intersection_train_0421 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {d: 2, y: 2, i: 1, n: 1}, shuffle the letters in the word, what is the probability of no letter 'i' occupy any of their original positions?\nIf the probability can be w... | 11 | math |
comp_parametric_intersection_train_0422 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {i: 4, u: 2, z: 2}, shuffle the letters in the word, what is the probability of no letter 'i' occupy any of their original positions?\nIf the probability can be written... | 19 | math |
comp_parametric_intersection_train_0423 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {m: 2, c: 2, q: 1, t: 1}, shuffle the letters in the word, what is the probability of no letter 'q' occupy any of their original positions?\nIf the probability can be w... | 11 | math |
comp_parametric_intersection_train_0424 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {p: 2, r: 1, j: 3, t: 2}, shuffle the letters in the word, what is the probability of no letter 'r' occupy any of their original positions?\nIf the probability can be w... | 15 | math |
comp_parametric_intersection_train_0425 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {t: 4, k: 1, v: 2}, shuffle the letters in the word, what is the probability of no letter 'k' occupy any of their original positions?\nIf the probability can be written... | 13 | math |
comp_parametric_intersection_train_0426 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {r: 1, m: 4, o: 1}, shuffle the letters in the word, what is the probability of no letter 'r' occupy any of their original positions?\nIf the probability can be written... | 11 | math |
comp_parametric_intersection_train_0427 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {o: 3, q: 5}, shuffle the letters in the word, what is the probability of no letter 'q' occupy any of their original positions?\nIf the probability can be written as th... | 9 | math |
comp_parametric_intersection_train_0428 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {x: 4, c: 2}, shuffle the letters in the word, what is the probability of no letter 'c' occupy any of their original positions?\nIf the probability can be written as th... | 23 | math |
comp_parametric_intersection_train_0429 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {o: 3, f: 1, y: 1, b: 2}, shuffle the letters in the word, what is the probability of no letter 'b' occupy any of their original positions?\nIf the probability can be w... | 34 | math |
comp_parametric_intersection_train_0430 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {f: 2, c: 2, t: 2}, shuffle the letters in the word, what is the probability of no letter 'c' occupy any of their original positions?\nIf the probability can be written... | 23 | math |
comp_parametric_intersection_train_0431 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {r: 2, k: 4}, shuffle the letters in the word, what is the probability of no letter 'k' occupy any of their original positions?\nIf the probability can be written as th... | 16 | math |
comp_parametric_intersection_train_0432 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {s: 5, v: 1}, shuffle the letters in the word, what is the probability of no letter 'v' occupy any of their original positions?\nIf the probability can be written as th... | 11 | math |
comp_parametric_intersection_train_0433 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {w: 2, q: 4, v: 2}, shuffle the letters in the word, what is the probability of no letter 'q' occupy any of their original positions?\nIf the probability can be written... | 19 | math |
comp_parametric_intersection_train_0434 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {l: 3, e: 1, t: 1, w: 2}, shuffle the letters in the word, what is the probability of no letter 'l' occupy any of their original positions?\nIf the probability can be w... | 48 | math |
comp_parametric_intersection_train_0435 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {h: 2, o: 4}, shuffle the letters in the word, what is the probability of no letter 'o' occupy any of their original positions?\nIf the probability can be written as th... | 17 | math |
comp_parametric_intersection_train_0436 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {u: 2, f: 2, e: 4}, shuffle the letters in the word, what is the probability of no letter 'f' occupy any of their original positions?\nIf the probability can be written... | 12 | math |
comp_parametric_intersection_train_0437 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {h: 1, y: 3, c: 3, e: 1}, shuffle the letters in the word, what is the probability of no letter 'h' occupy any of their original positions?\nIf the probability can be w... | 15 | math |
comp_parametric_intersection_train_0438 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {f: 3, m: 3, w: 2}, shuffle the letters in the word, what is the probability of no letter 'f' occupy any of their original positions?\nIf the probability can be written... | 43 | math |
comp_parametric_intersection_train_0439 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {v: 6, r: 2}, shuffle the letters in the word, what is the probability of no letter 'v' occupy any of their original positions?\nIf the probability can be written as th... | 29 | math |
comp_parametric_intersection_train_0440 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {u: 4, n: 4}, shuffle the letters in the word, what is the probability of no letter 'u' occupy any of their original positions?\nIf the probability can be written as th... | 89 | math |
comp_parametric_intersection_train_0441 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {e: 1, k: 4, i: 1}, shuffle the letters in the word, what is the probability of no letter 'i' occupy any of their original positions?\nIf the probability can be written... | 11 | math |
comp_parametric_intersection_train_0442 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {b: 4, f: 4}, shuffle the letters in the word, what is the probability of no letter 'f' occupy any of their original positions?\nIf the probability can be written as th... | 19 | math |
comp_parametric_intersection_train_0443 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {o: 2, s: 1, c: 3, d: 2}, shuffle the letters in the word, what is the probability of no letter 'o' occupy any of their original positions?\nIf the probability can be w... | 47 | math |
comp_parametric_intersection_train_0444 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {j: 1, d: 2, q: 1, y: 2}, shuffle the letters in the word, what is the probability of no letter 'd' occupy any of their original positions?\nIf the probability can be w... | 8 | math |
comp_parametric_intersection_train_0445 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {i: 1, w: 2, o: 3}, shuffle the letters in the word, what is the probability of no letter 'i' occupy any of their original positions?\nIf the probability can be written... | 11 | math |
comp_parametric_intersection_train_0446 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {g: 2, m: 3, z: 2}, shuffle the letters in the word, what is the probability of no letter 'g' occupy any of their original positions?\nIf the probability can be written... | 5 | math |
comp_parametric_intersection_train_0447 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {w: 4, u: 3}, shuffle the letters in the word, what is the probability of no letter 'u' occupy any of their original positions?\nIf the probability can be written as th... | 48 | math |
comp_parametric_intersection_train_0448 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {z: 2, w: 2, t: 2, s: 2}, shuffle the letters in the word, what is the probability of no letter 'w' occupy any of their original positions?\nIf the probability can be w... | 47 | math |
comp_parametric_intersection_train_0449 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {l: 4, j: 3}, shuffle the letters in the word, what is the probability of no letter 'j' occupy any of their original positions?\nIf the probability can be written as th... | 51 | math |
comp_parametric_intersection_train_0450 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {y: 3, w: 1, l: 4}, shuffle the letters in the word, what is the probability of no letter 'y' occupy any of their original positions?\nIf the probability can be written... | 41 | math |
comp_parametric_intersection_train_0451 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {e: 2, p: 2, x: 2}, shuffle the letters in the word, what is the probability of no letter 'x' occupy any of their original positions?\nIf the probability can be written... | 8 | math |
comp_parametric_intersection_train_0452 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {r: 1, o: 3, i: 3}, shuffle the letters in the word, what is the probability of no letter 'i' occupy any of their original positions?\nIf the probability can be written... | 51 | math |
comp_parametric_intersection_train_0453 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {r: 2, y: 6}, shuffle the letters in the word, what is the probability of no letter 'r' occupy any of their original positions?\nIf the probability can be written as th... | 12 | math |
comp_parametric_intersection_train_0454 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {h: 4, a: 2, k: 1}, shuffle the letters in the word, what is the probability of no letter 'h' occupy any of their original positions?\nIf the probability can be written... | 41 | math |
comp_parametric_intersection_train_0455 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {e: 3, k: 1, h: 2, s: 2}, shuffle the letters in the word, what is the probability of no letter 'h' occupy any of their original positions?\nIf the probability can be w... | 47 | math |
comp_parametric_intersection_train_0456 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {z: 3, i: 3}, shuffle the letters in the word, what is the probability of no letter 'z' occupy any of their original positions?\nIf the probability can be written as th... | 5 | math |
comp_parametric_intersection_train_0457 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {t: 1, f: 2, p: 2, z: 2}, shuffle the letters in the word, what is the probability of no letter 't' occupy any of their original positions?\nIf the probability can be w... | 13 | math |
comp_parametric_intersection_train_0458 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {u: 6, b: 2}, shuffle the letters in the word, what is the probability of no letter 'u' occupy any of their original positions?\nIf the probability can be written as th... | 15 | math |
comp_parametric_intersection_train_0459 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {a: 1, f: 5, e: 2}, shuffle the letters in the word, what is the probability of no letter 'e' occupy any of their original positions?\nIf the probability can be written... | 12 | math |
comp_parametric_intersection_train_0460 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {k: 1, z: 3, c: 2, u: 1}, shuffle the letters in the word, what is the probability of no letter 'k' occupy any of their original positions?\nIf the probability can be w... | 13 | math |
comp_parametric_intersection_train_0461 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {i: 3, g: 1, j: 1, l: 3}, shuffle the letters in the word, what is the probability of no letter 'l' occupy any of their original positions?\nIf the probability can be w... | 41 | math |
comp_parametric_intersection_train_0462 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {h: 1, e: 2, o: 4}, shuffle the letters in the word, what is the probability of no letter 'h' occupy any of their original positions?\nIf the probability can be written... | 13 | math |
comp_parametric_intersection_train_0463 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {q: 1, k: 2, c: 3}, shuffle the letters in the word, what is the probability of no letter 'q' occupy any of their original positions?\nIf the probability can be written... | 11 | math |
comp_parametric_intersection_train_0464 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {w: 1, f: 2, e: 3}, shuffle the letters in the word, what is the probability of no letter 'w' occupy any of their original positions?\nIf the probability can be written... | 11 | math |
comp_parametric_intersection_train_0465 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {m: 3, a: 2, f: 2}, shuffle the letters in the word, what is the probability of no letter 'a' occupy any of their original positions?\nIf the probability can be written... | 34 | math |
comp_parametric_intersection_train_0466 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {z: 2, h: 3, s: 2}, shuffle the letters in the word, what is the probability of no letter 'z' occupy any of their original positions?\nIf the probability can be written... | 5 | math |
comp_parametric_intersection_train_0467 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {c: 1, o: 2, t: 1, u: 2}, shuffle the letters in the word, what is the probability of no letter 'o' occupy any of their original positions?\nIf the probability can be w... | 23 | math |
comp_parametric_intersection_train_0468 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {q: 5, n: 2}, shuffle the letters in the word, what is the probability of no letter 'q' occupy any of their original positions?\nIf the probability can be written as th... | 23 | math |
comp_parametric_intersection_train_0469 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {e: 3, c: 3, u: 2}, shuffle the letters in the word, what is the probability of no letter 'u' occupy any of their original positions?\nIf the probability can be written... | 12 | math |
comp_parametric_intersection_train_0470 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {e: 3, c: 3}, shuffle the letters in the word, what is the probability of no letter 'e' occupy any of their original positions?\nIf the probability can be written as th... | 27 | math |
comp_parametric_intersection_train_0471 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {q: 4, e: 2, z: 2}, shuffle the letters in the word, what is the probability of no letter 'q' occupy any of their original positions?\nIf the probability can be written... | 19 | math |
comp_parametric_intersection_train_0472 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {d: 5, u: 3}, shuffle the letters in the word, what is the probability of no letter 'd' occupy any of their original positions?\nIf the probability can be written as th... | 67 | math |
comp_parametric_intersection_train_0473 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {t: 6, x: 2}, shuffle the letters in the word, what is the probability of no letter 'x' occupy any of their original positions?\nIf the probability can be written as th... | 47 | math |
comp_parametric_intersection_train_0474 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {s: 3, k: 3, f: 1}, shuffle the letters in the word, what is the probability of no letter 'f' occupy any of their original positions?\nIf the probability can be written... | 13 | math |
comp_parametric_intersection_train_0475 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {r: 2, n: 3, g: 1, p: 1}, shuffle the letters in the word, what is the probability of no letter 'g' occupy any of their original positions?\nIf the probability can be w... | 13 | math |
comp_parametric_intersection_train_0476 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {c: 1, s: 1, t: 2, f: 2}, shuffle the letters in the word, what is the probability of no letter 't' occupy any of their original positions?\nIf the probability can be w... | 23 | math |
comp_parametric_intersection_train_0477 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {y: 2, a: 2, w: 1, t: 2}, shuffle the letters in the word, what is the probability of no letter 'y' occupy any of their original positions?\nIf the probability can be w... | 5 | math |
comp_parametric_intersection_train_0478 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {h: 2, q: 2, n: 3, l: 1}, shuffle the letters in the word, what is the probability of no letter 'l' occupy any of their original positions?\nIf the probability can be w... | 15 | math |
comp_parametric_intersection_train_0479 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {o: 2, c: 1, r: 2, u: 2}, shuffle the letters in the word, what is the probability of no letter 'r' occupy any of their original positions?\nIf the probability can be w... | 5 | math |
comp_parametric_intersection_train_0480 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {t: 1, u: 2, k: 3, y: 1}, shuffle the letters in the word, what is the probability of no letter 't' occupy any of their original positions?\nIf the probability can be w... | 13 | math |
comp_parametric_intersection_train_0481 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {z: 1, e: 3, h: 1, v: 3}, shuffle the letters in the word, what is the probability of no letter 'z' occupy any of their original positions?\nIf the probability can be w... | 15 | math |
comp_parametric_intersection_train_0482 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {d: 1, z: 4, q: 2}, shuffle the letters in the word, what is the probability of no letter 'z' occupy any of their original positions?\nIf the probability can be written... | 41 | math |
comp_parametric_intersection_train_0483 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {h: 3, y: 5}, shuffle the letters in the word, what is the probability of no letter 'h' occupy any of their original positions?\nIf the probability can be written as th... | 41 | math |
comp_parametric_intersection_train_0484 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {o: 4, u: 2, k: 2}, shuffle the letters in the word, what is the probability of no letter 'u' occupy any of their original positions?\nIf the probability can be written... | 12 | math |
comp_parametric_intersection_train_0485 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {n: 5, z: 3}, shuffle the letters in the word, what is the probability of no letter 'z' occupy any of their original positions?\nIf the probability can be written as th... | 43 | math |
comp_parametric_intersection_train_0486 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {u: 2, v: 1, d: 3}, shuffle the letters in the word, what is the probability of no letter 'u' occupy any of their original positions?\nIf the probability can be written... | 8 | math |
comp_parametric_intersection_train_0487 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {c: 4, h: 2, j: 2}, shuffle the letters in the word, what is the probability of no letter 'c' occupy any of their original positions?\nIf the probability can be written... | 19 | math |
comp_parametric_intersection_train_0488 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {b: 2, w: 3, v: 3}, shuffle the letters in the word, what is the probability of no letter 'b' occupy any of their original positions?\nIf the probability can be written... | 47 | math |
comp_parametric_intersection_train_0489 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {x: 1, c: 1, r: 1, q: 3}, shuffle the letters in the word, what is the probability of no letter 'q' occupy any of their original positions?\nIf the probability can be w... | 27 | math |
comp_parametric_intersection_train_0490 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {b: 4, m: 3}, shuffle the letters in the word, what is the probability of no letter 'b' occupy any of their original positions?\nIf the probability can be written as th... | 44 | math |
comp_parametric_intersection_train_0491 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {a: 2, j: 3, g: 1}, shuffle the letters in the word, what is the probability of no letter 'g' occupy any of their original positions?\nIf the probability can be written... | 11 | math |
comp_parametric_intersection_train_0492 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {f: 3, p: 2, q: 2, j: 1}, shuffle the letters in the word, what is the probability of no letter 'j' occupy any of their original positions?\nIf the probability can be w... | 15 | math |
comp_parametric_intersection_train_0493 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {q: 1, p: 1, t: 4}, shuffle the letters in the word, what is the probability of no letter 'p' occupy any of their original positions?\nIf the probability can be written... | 11 | math |
comp_parametric_intersection_train_0494 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {g: 3, i: 2, m: 1}, shuffle the letters in the word, what is the probability of no letter 'm' occupy any of their original positions?\nIf the probability can be written... | 11 | math |
comp_parametric_intersection_train_0495 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {y: 2, b: 3, e: 1, n: 2}, shuffle the letters in the word, what is the probability of no letter 'y' occupy any of their original positions?\nIf the probability can be w... | 47 | math |
comp_parametric_intersection_train_0496 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {r: 2, e: 2, w: 4}, shuffle the letters in the word, what is the probability of no letter 'r' occupy any of their original positions?\nIf the probability can be written... | 12 | math |
comp_parametric_intersection_train_0497 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {v: 3, r: 5}, shuffle the letters in the word, what is the probability of no letter 'v' occupy any of their original positions?\nIf the probability can be written as th... | 41 | math |
comp_parametric_intersection_train_0498 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 4 letters from the multiset {w: 1, v: 2, t: 1, n: 4}, shuffle the letters in the word, what is the probability of no letter 'n' occupy any of their original positions?\nIf the probability can be w... | 89 | math |
comp_parametric_intersection_train_0499 | comp_parametric_intersection | Combinatorics (Probability) + Algebra (Function Intersection) | [
{
"role": "user",
"content": "What is the probability of such event happening: Form a word by randomly choosing 3 letters from the multiset {d: 1, b: 2, w: 3, y: 2}, shuffle the letters in the word, what is the probability of no letter 'd' occupy any of their original positions?\nIf the probability can be w... | 15 | math |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.