proving a sum of binomial coefficients
17638
Sum with binomial coefficients: $\sum_{k=0}^{n}{2n\choose 2k}$
150355
Finding sum of binomial series
144571
A conjecture including binomial coefficients
10875
proof of binomial identity involving double sum
155769
Prove $\sum_{k= 0}^{n} k \binom{n}{k} = n \cdot 2^{n-1}$ using the binomial theorem for $n\geq1$
136580
Proving $\sum_{k=0}^n\binom{2n}{2k} = 2^{2n-1}$
99249
Sum of product of binomial coefficients: $\sum_{k=0}^{n}(-1)^k\binom{n}{k}\binom{n + k}{k} = (-1)^n$
49066
Give the combinatorial proof of the identity $\sum\limits_{i=0}^{n} \binom{k-1+i}{k-1} = \binom{n+k}{k}$
13236
Proving equality - a sum including binomial coefficient $\sum_{k=1}^{n}k{n \choose k}2^{n-k}=n3^{n-1}$
67844
Prove equation with binomial coefficient
94060
Sum of square binomial coefficients
2885
Prove that $\sum\limits_{i=1}^n 2i\binom{2n}{n-i}= n\binom{2n}{n}$
143945
Summation of combination of binomial coefficient
103347
combinatorial proof of summation
18046
Prove the following equality: $\sum_{k=0}^n\binom {n-k }{k} = F_n$
61270
Binomial Theorem Sum
111098
Prove $2^{2n} = \sum_{k=0}^{n}\binom{2n+1}{k}$