List questions from binomial-coefficients

Published on 16 Jun 2014 - 22:41

46

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Number of draws that contain at least $k$ red coins

Published on 17 Jun 2014 - 17:08

85

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Inequality in matroid theory

Published on 27 Mar 2026 - 3:49

189

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Evaluate $\sum_{j=0}^{k} (-1)^{j} \binom{n}{j}$

Published on 18 Jun 2014 - 10:07

719

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Proving Combinatorical Summation: $n!=\sum_{k=0}^n(-1)^k\binom{n}{k}(n-k)^n$

Published on 27 Mar 2026 - 21:19

43

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Finding the co-efficient of $\frac{1}{z}$ in the expansion of $\frac{(1+z^2)^{2n}}{z^{2n+1}}$

Published on 18 Jun 2014 - 19:37

71

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A sum of powers of binomials

Published on 18 Jun 2014 - 21:24

317

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A generalized combinatorial identity for a sum of products of binomial coefficients

Published on 19 Jun 2014 - 9:23

88

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Binomial coefficient after expansion.

Published on 28 Mar 2026 - 13:30

43

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A little help in this binomial problem.

Published on 28 Mar 2026 - 11:52

238

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${n \choose r}=\frac {n!}{r!(n-r)!}$ without using the permutation approach.

Published on 29 Mar 2026 - 16:02

107

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Asymptotic complexity of $\sum_{k=1}^m \binom{2^m}{2^k} \binom{2^k}{2^{k-1}}$

Published on 22 Jun 2014 - 20:50

932

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A sum of Laguerre polynomials

Published on 25 Mar 2026 - 8:07

10.7k

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How many triangles are see in complete K5 graph

Published on 01 Apr 2026 - 8:21

1.2k

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All the binomial coefficients $\binom{n}{ i}$ are divisible by a prime $p$ only if $n$ is a power of $p$.

Published on 02 Apr 2026 - 10:42

List Question

Limit of binomial coefficients

Number of draws that contain at least $k$ red coins

Inequality in matroid theory

Evaluate $\sum_{j=0}^{k} (-1)^{j} \binom{n}{j}$

Proving Combinatorical Summation: $n!=\sum_{k=0}^n(-1)^k\binom{n}{k}(n-k)^n$

Finding the co-efficient of $\frac{1}{z}$ in the expansion of $\frac{(1+z^2)^{2n}}{z^{2n+1}}$

A sum of powers of binomials

A generalized combinatorial identity for a sum of products of binomial coefficients

Binomial coefficient after expansion.

A little help in this binomial problem.

${n \choose r}=\frac {n!}{r!(n-r)!}$ without using the permutation approach.

Asymptotic complexity of $\sum_{k=1}^m \binom{2^m}{2^k} \binom{2^k}{2^{k-1}}$

A sum of Laguerre polynomials

How many triangles are see in complete K5 graph

All the binomial coefficients $\binom{n}{ i}$ are divisible by a prime $p$ only if $n$ is a power of $p$.

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