Suppose we are given a checkerboard consisting of 2" rows and 2" columns of squares, for some positive integer n, and a box of L-shaped tiles, each of which can cover exactly three squares on the board. If any single square is cut out of the board, can we cover the remaining board with tiles such that tiles do not overlap or hang off the edge of the board?

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Solution If the checkerboard has 2n rows and 2n columns of squares then total number of squares ... View the full answer