This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

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Found problems: 1

2024 AIME, 9
Tags: AIME , 2024 AIME
There is a collection of $25$ indistinguishable black chips and $25$ indistinguishable white chips. Find the number of ways to place some of these chips in $25$ unit cells of a $5 \times 5$ grid so that: [list] [*]each cell contains at most one chip, [*]all chips in the same row and all chips in the same column have the same color, [*]any additional chip placed on the grid would violate one or more of the previous two conditions. [/list]