Proof of identity involving product of binomial coefficients
105237
Alternating sum of binomial coefficients identity
109648
Proving an identity for Bernoulli polynomials
145524
Proving this identity $\sum_k\frac{1}{k}\binom{2k-2}{k-1}\binom{2n-2k+1}{n-k}=\binom{2n}{n-1}$ using lattice paths
117775
Combinatorial proof of a Stirling number identity.
72026
Induction proof of $\sum_{k=1}^{n} \binom n k = 2^n -1 $
91648
Binomial coefficient proof
107397
Algebraic proof for the identity $\sum_{k=0}^m(-1)^{m-k}{{n \choose {k}}}= {{n-1}\choose m}$
18046
Prove the following equality: $\sum_{k=0}^n\binom {n-k }{k} = F_n$
22948
Is this binomial coefficient identity known?
33104
Combinatorial Proof with Summation Identity
108688
An identity involving products of sums
133181
Hint on how to prove the identity $\sum_{0 \leq k \leq n } \binom{k}{m} = \binom{n + 1}{m + 1}$
158508
Combinatorial Proof for Binomial Identity: $\sum_{k = 0}^n \binom{k}{p} = \binom{n+1}{p+1}$
156383
Proving a combinatorial identity without double counting
107335
Prove equality between binomial coefficients.
74887
Combinatorial proof of the identity ${n+1\choose k+1}={k\choose k}+{k+1\choose k}+...+{n-1\choose k}+{n\choose k}$
9046
Prove that $\sum_{k=0}^{m}\frac{\binom{m}{k}}{\binom{n}{k}}=\frac{n+1}{n+1-m}$