What is the sum of binomial coefficients?
132249
Sum of every $k$th binomial coefficient.
35381
Sum with binomial coefficients: $\sum_{k=1}^m  \frac{1}{k}{m \choose k} $
36361
How to calculate the summation $(\sum_{p = k}^{n} \binom{n}{p}) / 2^n$ quickly?
59252
Show $\sum_{k=0}^{m} \binom{n-k}{m-k}=\binom{n+1}{m}$
74294
How to simplify $\sum_{i=1}^{k}\binom{n + i - 1}{i}$?
47052
How can I simplify this expression involving binomial coefficients?
28027
Find $\sum_{k=0}^{n}4^k \binom{n}{k}$
148949
Find the value of $\sum_{k=1}^{n} k \binom {n} {k}$
109599
A finite sum involving the binomial coefficients and the harmonic numbers
5332
Find the value of $\sum_0^n \binom{n}{k} (-1)^k \frac{1}{k+1}$
41354
Binomial-coefficients if, k, m, n natural numbers and k \leq n the result of
57549
Finding the sum $\sum_{k=1}^rk^2\binom {n-k}{r-k}$
64803
Counting two ways, $\sum \binom{n}{k} \binom{m}{n-k} = \binom{n+m}{n}$
58247
Prove $\sum_{k=0}^n \binom{n+k}{k}=\binom{2n+1}{n}$
91458
Sum of the series $\binom{n}{0}-\binom{n-1}{1}+\binom{n-2}{2}-\binom{n-3}{3}+..........$
87479
Closed form for $\sum_{k=0}^{n-p}\binom{n}{k}\binom{n}{p+k}$
112374
Evaluate $ \binom{n}{0}+\binom{n}{2}+\binom{n}{4}+\cdots+\binom{n}{2k}+\cdots$