KöMaL 2011 B4397

Prove that if $n$ , $k$ are positive integers then $\binom{n}{k}\cdot(n,k)$ is divisible by $n$ .

Official text KöMaL. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.