Solution #12: Dominoes on Board

The use of a chessman to block out the middle square gives the clue to the solution of this problem. If the board is marked out as a chess board with alternate black and white squares, with the middle square black, we find that there are 32 white squares and 30 black squares (not counting the middle square). Now a domino however placed will cover one white square and one black square and hence having placed 30 dominoes we shall always be left with 2 white squares which cannot possibly be covered by a single domino. Hence, there is no possible solution to the problem.
Source: Longley-Cook, L. H.
Categories: Reasoning, Favorite
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