Binomial Theorem general formula
54442
Sum of $k {n \choose k}$ is $n2^{n-1}$
118372
Combination proof for $n(n+1)2^{n-2}=\sum_{k=1}^{n}k^2\binom{n}{k}$
52557
Derivation of binomial coefficient in binomial theorem.
73050
Explanation of the binomial theorem and the associated Big O notation
43188
The $n^{th}$ root of the geometric mean of binomial coefficients.
112827
Find the sum of the binomial coefficients
87479
Closed form for $\sum_{k=0}^{n-p}\binom{n}{k}\binom{n}{p+k}$
158508
Combinatorial Proof for Binomial Identity: $\sum_{k = 0}^n \binom{k}{p} = \binom{n+1}{p+1}$
147910
Prove that $\sum_{n=0}^N\binom{2N-n}N2^n(n+1)=(1+2N)\binom{2N}N$
10875
proof of binomial identity involving double sum
146810
How to derive this binomial identity?
19914
Closed form for $\sum_{n=0}^{\infty} \binom{n+k}{k} x^n$ (Negative Binomial Theorem)
59638
How to prove this result on binomial coefficients?
4931
variation of the binomial theorem
89758
Is there a formula for $(1+i)^n+(1-i)^n$?
93663
Any Info on Generalized Binomial and Exponential Series?
56317
Intuitive explanation of binomial coefficient formula