APMO 1996 Problem 2

Let $m$ and $n$ be positive integers such that $n \leq m$ . Prove that $2^n n! \leq \frac{(m+n)!}{(m-n)!} \leq (m^2 + m)^n$

Dataset text AI-MO AoPS. 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.