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Question on generating function of integer partitions

score 89 · Answer 1 · 2026-05-10 19:26:16

89

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Question on generating function of integer partitions

Published on 10 May 2026 - 19:26

score 611 · Answer 2 · 2026-04-10 12:43:55

611

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Permutations, combinations, and the multiplication principle for counting

Published on 10 Apr 2026 - 12:43

score 151 · Answer 3 · 2026-04-15 04:01:14

151

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Binomial sum of $\sum\limits_{k=0}^{n} k \binom{n}{k} (-1)^{k-1} 2^{n-k}$

Published on 15 Apr 2026 - 4:01

score 58 · Answer 4 · 2026-04-14 16:59:24

58

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Show that the sum of the numbers of ordered $3$-cliques and $3$-anticliques is not less than $\binom{V}{3}+\frac{2E^2}{V}-E(V-1)$.

Published on 14 Apr 2026 - 16:59

score 88 · Answer 5 · 2026-05-10 16:12:35

88

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Subgroups of semi-direct products of two elementary abelian subgroups.

Published on 10 May 2026 - 16:12

score 540 · Answer 6 · 2026-04-11 18:46:03

540

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Probability of picking a different object with replacement

Published on 11 Apr 2026 - 18:46

score 314 · Answer 7 · 2026-04-16 09:38:48

314

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Show that $z_n$ is a perfect square if $z_0 = z_1 = 1$ and $z_{n+1} = 7z_n − z_{n−1} − 2$

Published on 16 Apr 2026 - 9:38

score 55 · Answer 8 · 2026-04-14 23:17:22

55

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Problem on numbered books order in a shelf

Published on 14 Apr 2026 - 23:17

score 108 · Answer 9 · 2026-04-16 07:19:00

108

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Permutation of $1$ to $6$, but with condition based on position

Published on 16 Apr 2026 - 7:19

score 59 · Answer 10 · 2026-04-14 18:41:04

59

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How to solve this Yes/No query problem where we need to find the number of sets satisfying the given condition?

Published on 14 Apr 2026 - 18:41

score 4.6k · Answer 11 · 2026-04-13 19:07:41

4.6k

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Three dice are rolled. Find the number of possible outcomes in which at least one dice shows $5$.

Published on 13 Apr 2026 - 19:07

score 148 · Answer 12 · 2026-04-15 18:51:20

148

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Find coefficient of Generating function

Published on 15 Apr 2026 - 18:51

score 47 · Answer 13 · 2026-04-15 08:36:24

47

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Constrained sorting

Published on 15 Apr 2026 - 8:36

score 66 · Answer 14 · 2026-04-14 09:14:57

66

Views

probability for maximal result in rolling $n$ dice

Published on 14 Apr 2026 - 9:14

score 2.1k · Answer 15 · 2026-04-15 23:32:02

Find the number of ways in which 6 boys and 6 girls can be seated in a row so that all the girls are never together.

List Question

Question on generating function of integer partitions

Permutations, combinations, and the multiplication principle for counting

Binomial sum of $\sum\limits_{k=0}^{n} k \binom{n}{k} (-1)^{k-1} 2^{n-k}$

Show that the sum of the numbers of ordered $3$-cliques and $3$-anticliques is not less than $\binom{V}{3}+\frac{2E^2}{V}-E(V-1)$.

Subgroups of semi-direct products of two elementary abelian subgroups.

Probability of picking a different object with replacement

Show that $z_n$ is a perfect square if $z_0 = z_1 = 1$ and $z_{n+1} = 7z_n − z_{n−1} − 2$

Problem on numbered books order in a shelf

Permutation of $1$ to $6$, but with condition based on position

How to solve this Yes/No query problem where we need to find the number of sets satisfying the given condition?

Three dice are rolled. Find the number of possible outcomes in which at least one dice shows $5$.

Find coefficient of Generating function

Constrained sorting

probability for maximal result in rolling $n$ dice

Find the number of ways in which 6 boys and 6 girls can be seated in a row so that all the girls are never together.

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