MORE (Optional): A). This is an L-Tromino; assume each square in the L-Tromino has side length 1: Start with a square board with dimensions $2^n \times 2^n$, where n is a positive integer. Remove one $1 \times 1$ square from any part of the board. Prove by mathematical induction that the board can be tiled with L-trominoes.
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Removing one square leaves 3 squares, which can be tiled by one L-tromino. Show more…
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