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HMMT 2023 C6

  • Combinatorics
  • Answer

Each cell of a 3×33 \times 3 grid is labeled with a digit in the set {1,2,3,4,5}\{1,2,3,4,5\}. Then, the maximum entry in each row and each column is recorded. Compute the number of labelings for which every digit from 1 to 5 is recorded at least once.

Dataset text NuminaMath olympiads. Quoted with source.

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