The Mutilated Chessboard

 

by Martin Gardner

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A chessboard can be fully covered with 32 dominoes in size of two adjacent squares on the board. 

Suppose we cut off two corner squares of the chessboard as shown in the illustration.

Now the question is if it's possible to cover entirely this new board (now consisting of just 62 squares) with the 31 dominoes?

 
Posted: December 11, 2007
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