olymmath

USAMO 2016 Problem 2

  • Day 1

Prove that for any positive integer kk , (k2)!⋅∏j=0k−1j!(j+k)!(k^2)!\cdot \prod_{j=0}^{k-1}\frac{j!}{(j+k)!}is an integer.

Dataset text AI-MO AoPS. Quoted with source.

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