Summing Up Binomial Coefficients
71769
Evaluation of ratio of two binomial expression
279
Sum of two independent binomial variables
19776
Simplify a combinatorial sum
144571
A conjecture including binomial coefficients
75367
Find a simple formula for $\binom{n}{0}\binom{n}{1}+\binom{n}{1}\binom{n}{2}+...+\binom{n}{n-1}\binom{n}{n}$
14399
Calculate $\sum_{k=1}^n (-1)^{k+1} \binom{n}{k}\frac{1}{k}$
151384
Summation of series involving binomial coefficients and polynomial of degree at most n-1
115686
A finite summation of double binomial coefficients
126214
Multiplying Binomial Terms
31970
Alternating sum of squares of binomial coefficients
94060
Sum of square binomial coefficients
34803
Evaluating even binomial coefficients
103347
combinatorial proof of summation
36361
How to calculate the summation $(\sum_{p = k}^{n} \binom{n}{p}) / 2^n$ quickly?
151085
Simplify the sum $ \sum_{i=0}^{k}(-1)^i i \binom{n}{i} \binom{n}{k-i}$
51008
Evaluating a sum involving binomial coefficient in denominator
99249
Sum of product of binomial coefficients: $\sum_{k=0}^{n}(-1)^k\binom{n}{k}\binom{n + k}{k} = (-1)^n$