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_0300 | 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 2 letters from the multiset {m: 3, c: 1, h: 3}, 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... | 13 | math |
comp_parametric_intersection_train_0301 | 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: 4, k: 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 as th... | 8 | math |
comp_parametric_intersection_train_0302 | 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 2 letters from the multiset {p: 2, y: 1, e: 3}, 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... | 11 | math |
comp_parametric_intersection_train_0303 | 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, p: 3, h: 1, e: 1}, 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 w... | 13 | math |
comp_parametric_intersection_train_0304 | 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 2 letters from the multiset {c: 3, y: 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... | 7 | math |
comp_parametric_intersection_train_0305 | 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: 4, f: 3}, 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 written as th... | 44 | math |
comp_parametric_intersection_train_0306 | 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 2 letters from the multiset {s: 1, k: 1, n: 1, o: 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... | 8 | math |
comp_parametric_intersection_train_0307 | 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: 1, r: 2, q: 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... | 3 | math |
comp_parametric_intersection_train_0308 | 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: 1, l: 3, r: 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 written... | 51 | math |
comp_parametric_intersection_train_0309 | 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: 1, p: 3, g: 1}, 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 written... | 9 | math |
comp_parametric_intersection_train_0310 | 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: 1, h: 3, y: 2, r: 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 w... | 13 | math |
comp_parametric_intersection_train_0311 | 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 2 letters from the multiset {n: 3, d: 2, s: 2}, 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... | 12 | math |
comp_parametric_intersection_train_0312 | 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 2 letters from the multiset {p: 3, v: 4}, 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... | 10 | math |
comp_parametric_intersection_train_0313 | 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 2 letters from the multiset {w: 1, u: 1, e: 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... | 7 | math |
comp_parametric_intersection_train_0314 | 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: 2, o: 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... | 8 | math |
comp_parametric_intersection_train_0315 | 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, n: 1, m: 1, u: 1}, 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... | 7 | math |
comp_parametric_intersection_train_0316 | 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 2 letters from the multiset {e: 1, i: 1, m: 1, b: 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 w... | 9 | math |
comp_parametric_intersection_train_0317 | 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 2 letters from the multiset {y: 2, i: 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 as th... | 3 | math |
comp_parametric_intersection_train_0318 | 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 2 letters from the multiset {r: 1, i: 1, e: 1, x: 1}, 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 w... | 7 | math |
comp_parametric_intersection_train_0319 | 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, n: 2, r: 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... | 8 | math |
comp_parametric_intersection_train_0320 | 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 2 letters from the multiset {x: 3, l: 4}, 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... | 11 | math |
comp_parametric_intersection_train_0321 | 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 2 letters from the multiset {i: 3, q: 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 as th... | 5 | math |
comp_parametric_intersection_train_0322 | 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: 2, q: 1, c: 1, 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 w... | 5 | math |
comp_parametric_intersection_train_0323 | 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 2 letters from the multiset {w: 1, q: 3, z: 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_0324 | 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 2 letters from the multiset {f: 2, c: 2, y: 3}, 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... | 12 | math |
comp_parametric_intersection_train_0325 | 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: 1, z: 4, 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... | 5 | math |
comp_parametric_intersection_train_0326 | 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 2 letters from the multiset {o: 2, k: 3, r: 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 written... | 12 | math |
comp_parametric_intersection_train_0327 | 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 2 letters from the multiset {n: 3, u: 1, l: 2, s: 1}, 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... | 11 | math |
comp_parametric_intersection_train_0328 | 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 {v: 1, s: 2, u: 1, z: 1}, 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... | 9 | math |
comp_parametric_intersection_train_0329 | 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, y: 2}, 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 written as th... | 4 | math |
comp_parametric_intersection_train_0330 | 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 2 letters from the multiset {s: 2, d: 2}, 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... | 3 | math |
comp_parametric_intersection_train_0331 | 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: 5, n: 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 as th... | 23 | math |
comp_parametric_intersection_train_0332 | 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 2 letters from the multiset {j: 1, a: 1, p: 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... | 9 | math |
comp_parametric_intersection_train_0333 | 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: 4, t: 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 written as th... | 9 | math |
comp_parametric_intersection_train_0334 | 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: 4, v: 3}, 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... | 44 | math |
comp_parametric_intersection_train_0335 | 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 2 letters from the multiset {j: 3, p: 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... | 11 | math |
comp_parametric_intersection_train_0336 | 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 2 letters from the multiset {f: 1, o: 1, d: 2, b: 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 w... | 11 | math |
comp_parametric_intersection_train_0337 | 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 2 letters from the multiset {z: 2, e: 1, c: 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... | 9 | math |
comp_parametric_intersection_train_0338 | 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, s: 1, b: 1, u: 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... | 8 | math |
comp_parametric_intersection_train_0339 | 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 2 letters from the multiset {o: 1, w: 1, k: 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... | 3 | math |
comp_parametric_intersection_train_0340 | 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 {k: 1, h: 2, q: 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 written... | 7 | math |
comp_parametric_intersection_train_0341 | 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: 1, l: 1, s: 2, q: 1}, 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... | 9 | math |
comp_parametric_intersection_train_0342 | 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 2 letters from the multiset {j: 2, h: 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... | 5 | math |
comp_parametric_intersection_train_0343 | 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 2 letters from the multiset {e: 1, w: 1, t: 1, o: 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 w... | 11 | math |
comp_parametric_intersection_train_0344 | 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: 1, z: 1, y: 2, v: 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 w... | 8 | math |
comp_parametric_intersection_train_0345 | 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 2 letters from the multiset {l: 1, p: 1, d: 2, n: 1}, 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_0346 | 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, z: 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 as th... | 51 | math |
comp_parametric_intersection_train_0347 | 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 2 letters from the multiset {i: 1, c: 1, q: 1, e: 3}, 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... | 11 | math |
comp_parametric_intersection_train_0348 | 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, x: 3, b: 1}, 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... | 8 | math |
comp_parametric_intersection_train_0349 | 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 2 letters from the multiset {d: 1, i: 2, z: 1, t: 1}, 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... | 9 | math |
comp_parametric_intersection_train_0350 | 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, s: 1, k: 3}, 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... | 27 | math |
comp_parametric_intersection_train_0351 | 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: 1, w: 1, 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... | 4 | math |
comp_parametric_intersection_train_0352 | 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 2 letters from the multiset {g: 2, m: 2, t: 1, v: 2}, 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... | 12 | math |
comp_parametric_intersection_train_0353 | 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: 2, e: 2, a: 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... | 51 | math |
comp_parametric_intersection_train_0354 | 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, q: 1, w: 3, 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 w... | 13 | math |
comp_parametric_intersection_train_0355 | 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 2 letters from the multiset {e: 1, d: 1, b: 1, y: 1}, 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... | 7 | math |
comp_parametric_intersection_train_0356 | 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 2 letters from the multiset {b: 2, n: 1, r: 2, 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... | 11 | math |
comp_parametric_intersection_train_0357 | 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 2 letters from the multiset {h: 2, a: 3}, 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... | 8 | math |
comp_parametric_intersection_train_0358 | 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: 1, l: 2, w: 1, 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... | 9 | math |
comp_parametric_intersection_train_0359 | 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 2 letters from the multiset {c: 1, y: 1, w: 2, f: 1}, 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... | 8 | math |
comp_parametric_intersection_train_0360 | 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: 1, y: 1, c: 3}, 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 written... | 9 | math |
comp_parametric_intersection_train_0361 | 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: 1, v: 2, e: 4}, 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... | 5 | math |
comp_parametric_intersection_train_0362 | 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 2 letters from the multiset {v: 1, s: 1, n: 1, f: 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 w... | 9 | math |
comp_parametric_intersection_train_0363 | 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, s: 1, o: 1, d: 1}, 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 w... | 7 | math |
comp_parametric_intersection_train_0364 | 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: 2, l: 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... | 8 | math |
comp_parametric_intersection_train_0365 | 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, l: 2, f: 1, b: 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 w... | 9 | math |
comp_parametric_intersection_train_0366 | 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 2 letters from the multiset {h: 2, o: 2, z: 1, t: 1}, 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... | 11 | math |
comp_parametric_intersection_train_0367 | 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, k: 2, u: 1, t: 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... | 3 | math |
comp_parametric_intersection_train_0368 | 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 2 letters from the multiset {e: 4, n: 1}, 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 written as th... | 9 | math |
comp_parametric_intersection_train_0369 | 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: 3, x: 1, m: 3}, 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... | 51 | math |
comp_parametric_intersection_train_0370 | 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, n: 2}, 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 written as th... | 3 | math |
comp_parametric_intersection_train_0371 | 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: 4, 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... | 51 | math |
comp_parametric_intersection_train_0372 | 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: 1, p: 1, v: 2, i: 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 w... | 3 | math |
comp_parametric_intersection_train_0373 | 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 2 letters from the multiset {j: 1, r: 2, m: 1, f: 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 w... | 12 | math |
comp_parametric_intersection_train_0374 | 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, w: 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 written as th... | 4 | math |
comp_parametric_intersection_train_0375 | 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 2 letters from the multiset {n: 2, r: 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 written as th... | 3 | math |
comp_parametric_intersection_train_0376 | 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 2 letters from the multiset {w: 1, c: 3, b: 1, q: 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... | 13 | math |
comp_parametric_intersection_train_0377 | 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 2 letters from the multiset {e: 4, s: 1}, 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... | 9 | math |
comp_parametric_intersection_train_0378 | 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: 2, s: 5}, 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... | 23 | math |
comp_parametric_intersection_train_0379 | 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, w: 3, 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 written... | 5 | math |
comp_parametric_intersection_train_0380 | 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 2 letters from the multiset {a: 4, o: 3}, 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... | 11 | math |
comp_parametric_intersection_train_0381 | 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: 1, t: 2, e: 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 written... | 3 | math |
comp_parametric_intersection_train_0382 | 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 2 letters from the multiset {g: 1, w: 2, z: 1}, 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... | 7 | math |
comp_parametric_intersection_train_0383 | 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, y: 1, q: 2, n: 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 w... | 11 | math |
comp_parametric_intersection_train_0384 | 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 2 letters from the multiset {u: 3, n: 3}, 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 written as th... | 3 | math |
comp_parametric_intersection_train_0385 | 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 2 letters from the multiset {a: 2, o: 1, w: 1, 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 w... | 5 | math |
comp_parametric_intersection_train_0386 | 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 2 letters from the multiset {j: 2, d: 2, e: 2, t: 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_0387 | 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 2 letters from the multiset {q: 3, z: 2, d: 1, g: 1}, 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... | 13 | math |
comp_parametric_intersection_train_0388 | 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: 2, v: 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... | 8 | math |
comp_parametric_intersection_train_0389 | 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 2 letters from the multiset {n: 5, d: 2}, 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 written as th... | 9 | math |
comp_parametric_intersection_train_0390 | 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 2 letters from the multiset {b: 2, s: 2}, 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... | 3 | math |
comp_parametric_intersection_train_0391 | 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: 2, h: 2, n: 2, 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 w... | 13 | math |
comp_parametric_intersection_train_0392 | 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 2 letters from the multiset {r: 2, q: 2, h: 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... | 9 | math |
comp_parametric_intersection_train_0393 | 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 2 letters from the multiset {j: 1, z: 1, g: 1, c: 1}, 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... | 7 | math |
comp_parametric_intersection_train_0394 | 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: 2, a: 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 as th... | 17 | math |
comp_parametric_intersection_train_0395 | 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: 3, o: 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 as th... | 51 | math |
comp_parametric_intersection_train_0396 | 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 {v: 1, t: 1, m: 1, p: 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 w... | 7 | math |
comp_parametric_intersection_train_0397 | 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 2 letters from the multiset {n: 1, i: 1, k: 1, g: 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... | 7 | math |
comp_parametric_intersection_train_0398 | 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 2 letters from the multiset {g: 2, o: 3}, 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... | 7 | math |
comp_parametric_intersection_train_0399 | 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: 2, t: 1, b: 1, d: 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... | 9 | math |
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