Sum of product of certain binomial coefficients: $\sum\limits_{m = 0}^k \sum\limits_{n = 0}^m \binom{k}{m} \binom mn$
50226
Prove the identity $\sum_{k=0}^{n}\sum_{r=0}^{k} \binom{k}{r} \binom{n}{k} = 3^n$
58972
Proof/Derivation of Closed form of Binomial Expression $\sum\limits_{k=0}^{2n}(-1)^k\binom{2n}{k}^2$
8806
Summation of binomial coefficients
46132
Combinatorial interpretation for the identity $\sum\limits_i\binom{m}{i}\binom{n}{j-i}=\binom{m+n}{j}$?
5332
Find the value of $\sum_0^n \binom{n}{k} (-1)^k \frac{1}{k+1}$
87479
Closed form for $\sum_{k=0}^{n-p}\binom{n}{k}\binom{n}{p+k}$
94060
Sum of square binomial coefficients
1167
How to prove that $\sum_{k=0}^{n}(-1)^k \binom {n}{k}=0 $
133181
Hint on how to prove the identity $\sum_{0 \leq k \leq n } \binom{k}{m} = \binom{n + 1}{m + 1}$
127150
Finding general formula of $\sum_{i=0}^n i^2 \binom{n}{i}$
35342
Show that $ \sum_{n=2}^m \binom{n}{2} = \binom{m+1}{3}$
41354
Binomial-coefficients if, k, m, n natural numbers and k \leq n the result of
28027
Find $\sum_{k=0}^{n}4^k \binom{n}{k}$
122024
Asymptotic of a sum involving binomial coefficients
116491
Closed form for $\sum_{k=0}^{m} {\binom {m}{k}} a^{k} (b+ck)^N$
562
Formula for calculating $\sum_{n=0}^{m}nr^n$
84010
Combinatorial proof that $\sum \limits_{k=0}^n \binom{2k}{k} \binom{2n-2k}{n-k} (-1)^k = 2^n \binom{n}{n/2}$ when $n$ is even