Art of Problem Solving

2024 AIME II Problems/Problem 9: Difference between revisions

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There are 25 indistinguishable white chips and 25 indistinguishable black chips, find the number of ways to place some of these chips such that:
Every grid contains at most one chip
There can only be one colour of chip in any row or column
Any additional chip placed will violate one or more of the previous rules.

Revision as of 16:23, 8 February 2024

There are 25 indistinguishable white chips and 25 indistinguishable black chips, find the number of ways to place some of these chips such that: Every grid contains at most one chip There can only be one colour of chip in any row or column Any additional chip placed will violate one or more of the previous rules.