Simplifying Binomials
1158
How to prove this binomial identity $\sum_{r=0}^n {r {n \choose r}} = n2^{n-1}$?
150438
Binomial theorem for non integers ? O_o ??
87589
Evaluate $\binom{n}{0}+\binom{n}{2}+\binom{n}{4}+...+\binom{n}{2k}$
152084
Binomial-Theorem proof
14986
Proving a combinatorics equality: $\binom{r}{r} + \binom{r+1}{r} + \cdots + \binom{n}{r} = \binom{n+1}{r+1}$
9118
Polynomial division: an obvious trick? [reducing mod $\textit{simpler}$ multiples]
151757
Simplify $\sum_{i=0}^{N/2}{N-i\choose i}$
152870
Near integers in powers of binomials with radicals
14559
Binomial[-1,-1]
56828
A combinatorial proof that the alternating sum of binomial coefficients is zero
28936
Proving equation with binomial coefficient
106441
Find the value of $\binom{2000}{2} + \binom{2000}{5} + \binom{2000}{8} + \cdots \binom{2000}{2000}$
10191
Binomial theorem: divisibility by $n^2$
17551
Truncated alternating binomial sum
52557
Derivation of binomial coefficient in binomial theorem.
140632
A problem on Binomial Theorem
8806
Summation of binomial coefficients