AUSTRIAN-POLISH 1986 Problem 7

Let $k$ and $n$ be integers with $0 < k < n^2/4$ such that k has no prime divisor greater than $n$ . Prove that $k$ divides $n!$ .

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.