List questions from binomial-coefficients

Published on 28 Mar 2026 - 13:29

112

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How to calculate the sum of binomials?

Published on 25 May 2014 - 7:52

62

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convergence of a sum of binomials

Published on 25 May 2014 - 17:08

3.9k

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How many coefficients are in the expansion $(x + y + z)^{10}$

Published on 30 Mar 2026 - 12:58

835

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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 Mar 2026 - 6:22

106

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Efficient way to compute the binomial using $(2^k+1)^{k+1}$

Published on 27 Mar 2026 - 2:38

280

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Combinatorial proof involving reciprocals

Published on 26 Mar 2026 - 6:18

390

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simplifying a triple sum of products of binomial coefficients

Published on 28 May 2014 - 4:59

265

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Why is $\sum\limits_{k=0}^{n}(-1)^k\binom{n}{k}^2=(-1)^{n/2}\binom{n}{n/2}$ if $n$ is even?

Published on 28 Mar 2026 - 16:58

2.9k

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Binomial Coefficient Even or Odd?

Published on 30 May 2014 - 7:02

96

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Probability of $\text{Pr}(X+Y=k)$ for two independent random variables $X$ and $Y$

Published on 31 May 2014 - 16:59

1k

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Recurrence relation for product of binomial coefficients

Published on 01 Jun 2014 - 2:22

110

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$\sum_{k=1}^{n}\dfrac{(-1)^{k+1}}{k}{n\choose k}=\sum_{k=1}^n\dfrac{1}{k}$

Published on 30 Mar 2026 - 11:04

54

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Is it possible to get a formula for this summation

Published on 02 Jun 2014 - 9:51

659

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Prove that $\exp(\log(\frac{1}{1-x})) = \frac{1}{1-x}$

Published on 30 Mar 2026 - 9:16

List Question

Binomial representation

How to calculate the sum of binomials?

convergence of a sum of binomials

How many coefficients are in the expansion $(x + y + z)^{10}$

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

Efficient way to compute the binomial using $(2^k+1)^{k+1}$

Combinatorial proof involving reciprocals

simplifying a triple sum of products of binomial coefficients

Why is $\sum\limits_{k=0}^{n}(-1)^k\binom{n}{k}^2=(-1)^{n/2}\binom{n}{n/2}$ if $n$ is even?

Binomial Coefficient Even or Odd?

Probability of $\text{Pr}(X+Y=k)$ for two independent random variables $X$ and $Y$

Recurrence relation for product of binomial coefficients

$\sum_{k=1}^{n}\dfrac{(-1)^{k+1}}{k}{n\choose k}=\sum_{k=1}^n\dfrac{1}{k}$

Is it possible to get a formula for this summation

Prove that $\exp(\log(\frac{1}{1-x})) = \frac{1}{1-x}$

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