List questions from binomial-coefficients

Published on 26 Mar 2026 - 8:03

486

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Pascal Triangle Proof

Published on 18 Sep 2018 - 19:30

592

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Find the coefficient of $x^9$ in the expansion of $(1+x)(1+x^2)(1+x^3)...(1+x^{100})$

Published on 19 Sep 2018 - 14:06

128

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A general expression for the summation of series with binomial coefficients : $\sum_{k=0}^{n}(-1)^k{{n}\choose{k}} \frac{1}{k+n}$

Published on 25 Mar 2026 - 17:52

163

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Proof of Gaussian coefficients identity

Published on 21 Sep 2018 - 0:52

160

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Number of ways to add up $1$s, $0$s and $-1$s to a given number

Published on 21 Sep 2018 - 9:23

1.3k

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Is there a general formula for the sum of combinations?

Published on 22 Sep 2018 - 2:11

116

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Reference request for some determinants of binomial coefficients

Published on 25 Mar 2026 - 4:36

210

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How to find the value of $r$ such that $\frac{1}{\binom{9}{r}} - \frac{1}{\binom{10}{r}} = \frac{11}{6\binom{11}{r}}$?

Published on 25 Sep 2018 - 0:26

427

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Proving $\sum_{i=1}^{n} {{n}\choose{i}} (-1)^i = -1$ by induction

Published on 25 Sep 2018 - 14:33

58

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Binomial Coefficients Proof Help

Published on 25 Sep 2018 - 18:00

1.1k

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What is the sum of the binomial coefficients ${n\choose p}$ over prime numbers?

Published on 25 Sep 2018 - 18:34

1.8k

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Questions on a self-made theorem about polynomials

Published on 26 Sep 2018 - 0:37

109

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Simplify a weighted average with enumerations as weights

Published on 25 Mar 2026 - 6:17

579

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Proving formula sum of product of binomial coefficients

Published on 25 Mar 2026 - 17:40

List Question

Binomial Coefficient Divisibility

Pascal Triangle Proof

Find the coefficient of $x^9$ in the expansion of $(1+x)(1+x^2)(1+x^3)...(1+x^{100})$

A general expression for the summation of series with binomial coefficients : $\sum_{k=0}^{n}(-1)^k{{n}\choose{k}} \frac{1}{k+n}$

Proof of Gaussian coefficients identity

Number of ways to add up $1$s, $0$s and $-1$s to a given number

Is there a general formula for the sum of combinations?

Reference request for some determinants of binomial coefficients

How to find the value of $r$ such that $\frac{1}{\binom{9}{r}} - \frac{1}{\binom{10}{r}} = \frac{11}{6\binom{11}{r}}$?

Proving $\sum_{i=1}^{n} {{n}\choose{i}} (-1)^i = -1$ by induction

Binomial Coefficients Proof Help

What is the sum of the binomial coefficients ${n\choose p}$ over prime numbers?

Questions on a self-made theorem about polynomials

Simplify a weighted average with enumerations as weights

Proving formula sum of product of binomial coefficients

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