List questions from combinatorial-proofs

Published on 15 May 2014 - 8:23

607

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A combinatorial proof of Euler's Criterion? $(\tfrac{a}{p})\equiv a^{\frac{p-1}{2}} \text{ mod p}$

Published on 25 Mar 2026 - 14:25

834

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Help with combinatorial proof of identity: $\sum_{k=1}^{n} \frac{(-1)^{k+1}}{k} \binom{n}{k} = \sum_{k=1}^{n} \frac{1}{k}$

Published on 26 May 2014 - 12:33

279

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Combinatorial proof involving reciprocals

Published on 27 May 2014 - 8:18

184

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How to Devise Combinatorial Arguments for Proving Identities

Published on 30 May 2014 - 13:23

200

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Prove this combinatorial identity

Published on 30 Jun 2014 - 20:30

147

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Combinatorial argument $a(n-a)$ $n \choose a $ = $n(n-1)$ $n-2 \choose a-1$

Published on 29 Jul 2014 - 6:01

335

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A sum with binomial coefficients in the numerator and denominator.

Published on 29 Jul 2014 - 11:39

614

Views

Help finding a combinatorial proof of $k {n \choose k } = n {n - 1 \choose k -1}\;$

Published on 28 Aug 2014 - 14:29

116

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Prove with combinatorial arguments this equation

Published on 09 Sep 2014 - 16:25

308

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Calculating $\sum_{k=1}^nk(k!)$ combinatorially

Published on 12 Sep 2014 - 11:52

403

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Proving that $\sum_{i = 0}^{m}{\binom{k+i}{k} \binom{n-i}{n-m}} = \binom{n+k+1}{m}$

Published on 14 Sep 2014 - 17:07

87

Views

Proving $\sum_{k=0}^n \binom{n}{k} = 2^n$ combinatorially?

Published on 22 Sep 2014 - 2:37

2.8k

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Combinatorial argument for the sum of the first $n$ integers.

Published on 25 Sep 2014 - 6:45

216

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Understanding a combinatorial relation.

Published on 27 Sep 2014 - 15:55

List Question

Combinatorial proof of $n! = {n\choose k}k!(n-k)!$

A combinatorial proof of Euler's Criterion? $(\tfrac{a}{p})\equiv a^{\frac{p-1}{2}} \text{ mod p}$

Help with combinatorial proof of identity: $\sum_{k=1}^{n} \frac{(-1)^{k+1}}{k} \binom{n}{k} = \sum_{k=1}^{n} \frac{1}{k}$

Combinatorial proof involving reciprocals

How to Devise Combinatorial Arguments for Proving Identities

Prove this combinatorial identity

Combinatorial argument $a(n-a)$ $n \choose a $ = $n(n-1)$ $n-2 \choose a-1$

A sum with binomial coefficients in the numerator and denominator.

Help finding a combinatorial proof of $k {n \choose k } = n {n - 1 \choose k -1}\;$

Prove with combinatorial arguments this equation

Calculating $\sum_{k=1}^nk(k!)$ combinatorially

Proving that $\sum_{i = 0}^{m}{\binom{k+i}{k} \binom{n-i}{n-m}} = \binom{n+k+1}{m}$

Proving $\sum_{k=0}^n \binom{n}{k} = 2^n$ combinatorially?

Combinatorial argument for the sum of the first $n$ integers.

Understanding a combinatorial relation.

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