Combinatorics · Counting · Non attacking rooks · Ordered and unordered selections

Problem 1, 2006

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In how many ways can three rooks be placed on a chessboard of dimensions \(6 \times 2006\) so that no two of them attack each other? (Two rooks attack each other when they stand in the same row or in the same column.)

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Serbian Municipal Competition 2006, high school grade I, category A, problem 1. Organized by the Mathematical Society of Serbia (DMS). Source