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Found problems: 1

2016 USAMO, 2
Tags: factorial , 2016 USAMO , 2016 USAMO Problem 2 , USAMO , USA(J)MO , AMC , Hi
Prove that for any positive integer $k$, \[(k^2)!\cdot\displaystyle\prod_{j=0}^{k-1}\frac{j!}{(j+k)!}\]is an integer.