olymmath

IMO 1972 Problem 3

  • Day 1

Prove that (2m)!(2n)!(2m)!(2n)! is a multiple of m!n!(m+n)!m!n!(m+n)! for any non-negative integers mm and nn .

Dataset text AI-MO AoPS. Quoted with source.

Official text: IMO 1972 official English paper, page 1.

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Locator imo/1972/p3 · Tag XZQ1Y7G6BN · Edit this page on GitHub · Keys: j next, k previous