In the attached figure, you can see a chessboard and two rooks placed on the chess board. What you have to find is the number of squares that do not contain the rooks.
How many are there?
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Solution
128 Lets count them one by one. 62 squares of size 1x1. 41 squares of size 2x2. 18 squares of size 3x3. 6 squares of size 4x4. 1 square of size 5x5. 62 + 41 + 18 + 6 + 1 = 128 squares.