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HMMT 2005 C4

  • Combinatorics
  • Answer

In how many ways can 4 purple balls and 4 green balls be placed into a 4×44 \times 4 grid such that every row and column contains one purple ball and one green ball? 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.

Also HMMT 2005 E5.

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216

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