Divisibility of $\binom{n}{r}$ by $n$.
117761
When is $\binom{n}{k}$ divisible by $n$?
40565
How can I prove that one of $n$, $n+2$, and $n+4$ must be divisible by three, for any $n\in\mathbb{N}$
25961
Prove: $\binom{n}{0}F_0+\binom{n}{1}F_1+\binom{n}{2}F_2+\cdots+\binom{n}{n}F_n=F_{2n}$
49234
Sum of binomial coefficients with index divisible by 4
14986
Proving a combinatorics equality: $\binom{r}{r} + \binom{r+1}{r} + \cdots + \binom{n}{r} = \binom{n+1}{r+1}$
110876
Prove that $p\mid \binom{p}{k},\ 0< k< p$
118674
Simple upper bound for $\binom{n}{k}$
116970
On the number divisors of a number
25004
Proving $\binom{m}{n} + \binom{m}{n-1} = \binom{m+1}{n}$ algebraically
46840
How to prove that $\sum_{r=0}^n\binom{n}{r}2^r=3^n$
68561
How to show $\lceil ( \sqrt3 +1)^{2n}\rceil$ where $n \in \mathbb{ N}$ is divisible by $2^{n+1}$
91921
Divisibility of $n\cdot2^n+1$ by 3.
48434
Prove that $\sum\limits_{k=0}^m\binom{m}k\binom{n}{r+k}=\binom{m+n}{m+r}$ using combinatoric arguments.
92704
Prove that $\sum_{k=1}^{n}k\binom{n}{k}=n\cdot2^{n-1}$
146533
Having problems proving $ \sum_{r=0}^{n}(r+1) \binom{n}{r} = (n+2)2^{n-1} $
134739
product of divisors of n as a power of n.
140632
A problem on Binomial Theorem