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in Olympiad by (65.8k points)

What is the number of ways in which one can choose 60 unit squares from a 11 × 11 chessboard such that no two chosen squares have a side in common?

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Best answer

Total no. of squares = 121

Out of these, 61 squares can be placed diagonally.

From these any 60 can be selected in 61C60 ways

= 61

From the remaining 60 squares 60 can be chosen in any one way

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