Question on binomial expansion - divisibility
68561
How to show $\lceil ( \sqrt3 +1)^{2n}\rceil$ where $n \in \mathbb{ N}$ is divisible by $2^{n+1}$
22962
How to show $\binom{2p}{p} \equiv 2\pmod p$?
125220
Solving binomial theorem via induction
44111
Find the value of $\sum_{k=1}^{n}k\binom{n}{k}$?
73050
Explanation of the binomial theorem and the associated Big O notation
31292
Divisibility Proof with Induction - Stuck on Induction Step
47052
How can I simplify this expression involving binomial coefficients?
4931
variation of the binomial theorem
962
divisibility problem using induction
119759
Help ending a proof using binomial theorem: $\sum_{k=0}^n {n \choose k}\cdot\frac{(-1)^k}{k+1} = \frac{1}{n+1}$
155150
Division of Factorials [binomal coefficients are integers]
11470
Divisibility of integers
152084
Binomial-Theorem proof
80365
Prove that $n$ is divisible by $6$
17638
Sum with binomial coefficients: $\sum_{k=0}^{n}{2n\choose 2k}$
96903
How to show via inductive proof (and without the use of the binomial theorem) that $ {n\choose k} \in \mathbb{N} $?
79940
$\binom{p}{i}$ divisible by $p$, with $p$ prime