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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discrete mathematics - $2^n imes 2^n$ Chessboard Covering minus $1$ square - Mathematics Stack Exchange

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Solved (9) (OPTIONAL) We want to place n rooks on an n x n

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