discrete mathematics - n-rooks n-colors problem - Mathematics Stack Exchange
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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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Counting and Configurations: Problems in Combinatorics, Arithmetic, and Geometry (CMS Books in Mathematics) [1 ed.] 0387955526, 2002026655
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