QED Night
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Counting The Rectangles

Unreviewed import — a classic from the public domain; its solution has not been machine-checked yet.

math
Can you say correctly just how many squares and other rectangles the chessboard contains? In other words, in how great a number of different ways is it possible to indicate a square or other rectangle enclosed by lines that separate the squares of the board?

Solution

Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.

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