Question

Rearranging $nk$ distinct objects among $n$ boxes, $k$ objects per box. Probability no box is the same?

score 113 · Answer 1 · 2026-04-16 07:54:00

113

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Rearranging $nk$ distinct objects among $n$ boxes, $k$ objects per box. Probability no box is the same?

Published on 16 Apr 2026 - 7:54

score 91 · Answer 2 · 2026-05-14 17:13:23

91

Views

Coefficients of the expansion of $\prod_{i=1}^k(x+i)$

Published on 14 May 2026 - 17:13

score 497 · Answer 3 · 2026-05-14 18:20:53

497

Views

the sum of two arbitrary different numbers in the sequence is always coprime with the sum of three arbitrary different numbers

Published on 14 May 2026 - 18:20

score 472 · Answer 4 · 2026-05-13 00:21:51

472

Views

Square coloring problem only using 2 colors

Published on 13 May 2026 - 0:21

score 412 · Answer 5 · 2026-04-10 23:18:41

412

Views

Bell number generating function

Published on 10 Apr 2026 - 23:18

score 105 · Answer 6 · 2026-04-12 00:54:31

105

Views

Recurrence Relation - # of binary strings with given property

Published on 12 Apr 2026 - 0:54

score 1.4k · Answer 7 · 2026-04-11 23:57:25

1.4k

Views

Probability that two randomly chosen people out of 10 have birthday in the same month

Published on 11 Apr 2026 - 23:57

score 977 · Answer 8 · 2026-04-14 14:53:21

977

Views

Recurrence Relation - coloring $n$ sectors on a circular disk

Published on 14 Apr 2026 - 14:53

score 77 · Answer 9 · 2026-04-29 12:50:13

77

Views

Explanation for binomial sums $\sum_{n=0}^{\infty} \binom{-4}{n-1} (-1)^{n-1} x^n = \sum_{n=0}^{\infty} \binom{-4}{n} (-1) x^{n+1}$

Published on 29 Apr 2026 - 12:50

score 9k · Answer 10 · 2026-04-11 01:05:24

9k

Views

When does order matter in probability

Published on 11 Apr 2026 - 1:05

score 66 · Answer 11 · 2026-04-13 18:56:56

$3$ first year, $3$ second year and $4$ third year students who have agreed to help.How many different ways can they arrive at the common room?…

score 24 · Answer 12 · 2026-04-10 23:43:27

24

Views

Count specific semi-consequtive subsets of a set - general formula?

Published on 10 Apr 2026 - 23:43

score 375 · Answer 13 · 2026-04-15 19:32:27

375

Views

Number of 3-of-a-kind hands that are not 4-of-a-kind and not a full-house?

Published on 15 Apr 2026 - 19:32

score 81 · Answer 14 · 2026-04-14 07:22:13

81

Views

How many batches of balls have a leading ball when we fill $n$ bins by placing $k$ balls each turn

Published on 14 Apr 2026 - 7:22

score 90 · Answer 15 · 2026-05-15 23:35:05

90

Views

Advanced Discrete Math Generating function Problem

Published on 15 May 2026 - 23:35

List Question

Rearranging $nk$ distinct objects among $n$ boxes, $k$ objects per box. Probability no box is the same?

Coefficients of the expansion of $\prod_{i=1}^k(x+i)$

the sum of two arbitrary different numbers in the sequence is always coprime with the sum of three arbitrary different numbers

Square coloring problem only using 2 colors

Bell number generating function

Recurrence Relation - # of binary strings with given property

Probability that two randomly chosen people out of 10 have birthday in the same month

Recurrence Relation - coloring $n$ sectors on a circular disk

Explanation for binomial sums $\sum_{n=0}^{\infty} \binom{-4}{n-1} (-1)^{n-1} x^n = \sum_{n=0}^{\infty} \binom{-4}{n} (-1) x^{n+1}$

When does order matter in probability

$3$ first year, $3$ second year and $4$ third year students who have agreed to help.How many different ways can they arrive at the common room?…

Count specific semi-consequtive subsets of a set - general formula?

Number of 3-of-a-kind hands that are not 4-of-a-kind and not a full-house?

How many batches of balls have a leading ball when we fill $n$ bins by placing $k$ balls each turn

Advanced Discrete Math Generating function Problem

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