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Can you tile a 6 x 6 board with 15 dominoes so that the six empty squares are all in dierent rows and columns?

What could be an appropriate proof for this problem? It can be informal explanations.

domino.jpg

domino.jpg

Can you tile a 6 x 6 board with 15 dominoes so that the six empty squares are all in
diflerent rows and columns? For example, here’s an attempt that almost works, but
there are two empty squares in the last column.

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