discrete mathematics - n-rooks n-colors problem - Mathematics Stack Exchange

The problem goes as follows: $n$ colors are used to color the squares in a $n\times m$ chess board so that each color is used exactly $m$ times. Can you always place $n$ rooks on the board, so that

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combinatorics - Computing a rook polynomial - Mathematics Stack Exchange

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combinatorics - Use of rook polynomials - Mathematics Stack Exchange

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