Interesting Weighted Sum of Binomial Coefficients
2885
Prove that $\sum\limits_{i=1}^n 2i\binom{2n}{n-i}= n\binom{2n}{n}$
20713
The sum of an uncountable number of positive numbers
63893
Prime dividing the binomial coefficients
130223
Proving a special case of the binomial theorem: $\sum^{k}_{m=0}\binom{k}{m} = 2^k$
108401
Sum of binomial coefficients $\sum_{k=0}^{n}(-1)^k\binom{n}{k}\binom{2n - 2k}{n - 1} = 0$
51671
lower bounding logarithm of sums
22948
Is this binomial coefficient identity known?
104704
Evaluate $\sum\limits_{k=0}^n \binom{n}{k}$ combinatorially
73050
Explanation of the binomial theorem and the associated Big O notation
125220
Solving binomial theorem via induction
90904
Combinatorial proof of an identity with squared binomial coefficients
153499
What is the CDF of the sum of weighted Bernoulli random variables?
86194
Infinite series with the binomial coefficient
87505
binomial coefficient equal to sum
83400
Sum of products of binomial coefficients: $ \sum_{l=0}^{n-j} \binom{M-1+l}{l} \binom{n-M-l}{n-j-l} = \binom{n}{j} $
49234
Sum of binomial coefficients with index divisible by 4
142303
Alternating sum of binomial coefficients multiplied by (1/k+1)