2016 USAMO Problems/Problem 2
Problem
Prove that for any positive integer 
![\[\left(k^2\right)!\cdot\prod_{j=0}^{k-1}\frac{j!}{\left(j+k\right)!}\]](http://latex.artofproblemsolving.com/4/e/d/4ed23f598fe1573fe79161056cfcad1ffcb0f1fd.png)
is an integer.
Solution
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See also
| 2016 USAMO (Problems • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAMO Problems and Solutions | ||
