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Question 67

The number of rectangles that you can find on a chessboard is

Solution

Total number of squares in a $$n\times n$$ chessboard = $$\sum_1^n$$ $$(n)^2$$

and total number of rectangles = $$C_2^{(n+1)}\times C_2^{(n+1)}$$

=> Number of rectangles = $$C_2^9\times C_2^9$$

= $$36\times36=1296$$

=> Ans - (D)

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