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Combinatorics and Graph Theory
· Problem 1.1.8
Fundamentals — David Guichard
Mathematics — Combinatorics · domino-tiling
Problem
Suppose an
n
×
n
n \times n
n
×
n
board,
n
n
n
even, is covered with dominoes. Show that the number of horizontal dominoes with a white square under the left end is equal to the number of horizontal dominoes with a black square under the left end.
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