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#### Tilings with ordinary and domino tiles

Fill an ordinary chessboard with the tiles shown in the figure.

#### Odd and even numbers , Tilings with ordinary and domino tiles

Is it possible to fill a $5 \times 5$ board with $1 \times 2$ dominoes?

#### Pigeonhole principle (finite number of poits, lines etc.) , Tilings with ordinary and domino tiles

What is the smallest number of ‘L’ shaped ‘corners’ out of 3 squares that can be marked on an 8×8 square grid, so that no more ‘corners’ would fit?

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