HMMT 2005 U42
- Guts
- Answer
In how many ways can 6 purple balls and 6 green balls be placed into a grid of boxes such that every row and column contains two balls of one color and one ball of the other color? Only one ball may be placed in each box, and rotations and reflections of a single configuration are considered different.
Dataset text NuminaMath olympiads. Quoted with source.
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5184
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