SE-SKOLORNAS 2011 Problem 1

Determine all positive integers $k$ , $\ell$ , $m$ and $n$ , such that $\frac{1}{k!}+\frac{1}{\ell!}+\frac{1}{m!} =\frac{1}{n!}$

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.