List questions from combinatorial-proofs

Published on 22 Sep 2017 - 2:02

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Enumerative Combinatorial Question on polygons

Published on 28 Mar 2026 - 11:25

292

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How to do combinatorial proofs (specific question inside)?

Published on 24 Sep 2017 - 3:28

722

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Combinatorial proof of ${n\choose p}{n\choose q}=\sum_{k=0}^n {n \choose k}{n-k \choose p-k}{n-k \choose q-k}$

Published on 24 Sep 2017 - 23:52

138

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Combinatorial intuition of identity

Published on 26 Sep 2017 - 16:38

61

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given two recursive formulas

Published on 28 Sep 2017 - 15:28

820

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How to do double induction when one variable puts a constraint on the other one.

Published on 29 Sep 2017 - 11:50

461

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Number of integer solutions to $|x_1|+|x_2|+...+|x_n| \le m$

Published on 30 Sep 2017 - 14:37

282

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An identity involving binomial coefficients and rational functions

Published on 03 Oct 2017 - 6:28

175

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A proof of a combinatorial identity

Published on 04 Oct 2017 - 12:42

226

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Proving an interesting (falling) factorial identity

Published on 04 Oct 2017 - 13:22

3k

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Seating 7 students on 10 chairs so that no empty chairs are adjacent.

Published on 07 Oct 2017 - 10:46

800

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Combinatorial proof that the Stirling numbers of second kind satisfy $S(m+n+1,m) = \sum_{k=0}^{m} kS(n+k,k)$

Published on 29 Mar 2026 - 7:00

121

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Combinatorial proof of the given identity

Published on 13 Oct 2017 - 11:25

36

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Combinatorial Proofs with Summation

Published on 15 Oct 2017 - 2:06

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Combinatorial Proof of $n(n+1)2^{n-2} = \sum_{i=1}^ni^2\binom{n}{i}$

Enumerative Combinatorial Question on polygons

How to do combinatorial proofs (specific question inside)?

Combinatorial proof of ${n\choose p}{n\choose q}=\sum_{k=0}^n {n \choose k}{n-k \choose p-k}{n-k \choose q-k}$

Combinatorial intuition of identity

given two recursive formulas

How to do double induction when one variable puts a constraint on the other one.

Number of integer solutions to $|x_1|+|x_2|+...+|x_n| \le m$

An identity involving binomial coefficients and rational functions

A proof of a combinatorial identity

Proving an interesting (falling) factorial identity

Seating 7 students on 10 chairs so that no empty chairs are adjacent.

Combinatorial proof that the Stirling numbers of second kind satisfy $S(m+n+1,m) = \sum_{k=0}^{m} kS(n+k,k)$

Combinatorial proof of the given identity

Combinatorial Proofs with Summation

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