The Mutilated Chessboard:

We take a standard 8×8 chessboard, with 64 squares. Is it possible to cover this completely (tile it) with 1 x 2 dominoes? If yes, state a method of doing so. If no, prove why not.

Now, if we remove two opposing corners, can we still do it? If yes, state a method of doing so. If no, prove why not.

Mutilated Chessboard

Happy problem solving! Email [email protected] with your solution!

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