List questions from binomial-coefficients

Published on 12 Sep 2014 - 2:07

143

Views

Solve for $n$, where $n$ is a positive integer

Published on 12 Sep 2014 - 10:36

107

Views

Function related to Harmonic numbers, the Pascal triangle, Logarithmic integral and the Polylogarithm.

Published on 25 Mar 2026 - 7:41

62

Views

Transformation of a sum

Published on 28 Mar 2026 - 22:26

404

Views

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

Published on 26 Mar 2026 - 6:22

1.6k

Views

Inequality $\binom{2n}{n}\leq 4^n$

Published on 29 Mar 2026 - 20:43

41

Views

binominal inequality - checking

Published on 16 Sep 2014 - 12:12

473

Views

Gosper's Identity $\sum_{k=0}^n{n+k\choose k}[x^{n+1}(1-x)^k+(1-x)^{n+1}x^k]=1 $

Published on 16 Sep 2014 - 16:08

1.1k

Views

Probability for a 'pair' to occur when rolling 5 dice

Published on 17 Sep 2014 - 15:35

226

Views

Prove combination identity

Published on 28 Mar 2026 - 22:24

174

Views

Sum of Binomial Coefficient products

Published on 27 Mar 2026 - 20:19

9.5k

Views

Combinatorial Analysis: Fermat's Combinatorial Identity

Published on 18 Sep 2014 - 2:07

391

Views

Sum of products of binomial coefficients is equal to another binomial coefficient

Published on 18 Sep 2014 - 3:28

725

Views

Calculate the binomial sum $ I_n=\sum_{i=0}^n (-1)^i { 2n+1-i \choose i} $

Published on 18 Sep 2014 - 18:35

399

Views

What is the combinatorial interpretation of the product of binomial coefficients?

Published on 19 Sep 2014 - 1:46

List Question

Show that $ \sum_{k=0}^{r} \binom{r-k}{m} \binom{s+k}{n} = \binom{r+s+1}{m+n+1} $?

Solve for $n$, where $n$ is a positive integer

Function related to Harmonic numbers, the Pascal triangle, Logarithmic integral and the Polylogarithm.

Transformation of a sum

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

Inequality $\binom{2n}{n}\leq 4^n$

binominal inequality - checking

Gosper's Identity $\sum_{k=0}^n{n+k\choose k}[x^{n+1}(1-x)^k+(1-x)^{n+1}x^k]=1 $

Probability for a 'pair' to occur when rolling 5 dice

Prove combination identity

Sum of Binomial Coefficient products

Combinatorial Analysis: Fermat's Combinatorial Identity

Sum of products of binomial coefficients is equal to another binomial coefficient

Calculate the binomial sum $ I_n=\sum_{i=0}^n (-1)^i { 2n+1-i \choose i} $

What is the combinatorial interpretation of the product of binomial coefficients?

Trending Questions

Popular # Hahtags

Popular Questions