olymmath

CMO 2004 Problem 2

  • Paper

How many ways can 8 mutually non-attacking rooks be placed on the 9×99 \times 9 chessboard (shown here) so that all 8 rooks are on squares of the same colour?

[Two rooks are said to be attacking each other if they are placed in the same row or column of the board.]

Dataset text NuminaMath olympiads. Quoted with source.

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