Binomial Theorem. Can this be proved or not .
5049
Proving $\sum_{k=0}^n(-1)^k\binom nk=0$
111951
Prove $\binom{n}{m}\binom{m}{k} = \binom{n}{k}\binom{n-k}{m-k}$
143365
Is $\sum_{i=1}^{n-1}i=\binom{n}{2}$?
146867
Combinatorial Proof Of A Number Theory Theorem--Confusion
5149
Show $\binom{a}{b}\binom{b}{c}=\binom{a}{a-c}\binom{a-c}{a-b}$
113321
Hint proving this $\sum_{k=0}^{n}\binom{2n}{k}k=n2^{2n-1}$
155897
Proof by induction - is this correct?
92704
Prove that $\sum_{k=1}^{n}k\binom{n}{k}=n\cdot2^{n-1}$
10191
Binomial theorem: divisibility by $n^2$
45460
Proof verification of a number theory problem involving sequences.
96903
How to show via inductive proof (and without the use of the binomial theorem) that $ {n\choose k} \in \mathbb{N} $?
113943
Prove this equality by using Newton's Binomial Theorem
64328
How to prove that the Binet formula gives the terms of the Fibonacci Sequence?
25961
Prove: $\binom{n}{0}F_0+\binom{n}{1}F_1+\binom{n}{2}F_2+\cdots+\binom{n}{n}F_n=F_{2n}$
4855
How to show that this binomial sum satisfies the Fibonacci relation?
13525
Prove: If $n=2^k-1$, then $\binom{n}{i}$ is odd for $0\leq i\leq n$
10917
Give a combinatorial proof: $ n(n+1)2^{n-2} = \sum_{k=1}^{n}k^2\binom{n}{k} $