Find the total number of rectangles on a norm | vedclass

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Question

(C) chessboard is an $8 	imes 8$ grid,which consists of $9$ horizontal lines and $9$ vertical lines.To form a rectangle,we need to select $2$ horizon

Vedclass · Accepted Answer

$^9C_2 	imes ^9C_2$

Vedclass · Answer

(C) chessboard is an $8 	imes 8$ grid,which consists of $9$ horizontal lines and $9$ vertical lines.To form a rectangle,we need to select $2$ horizontal lines out of $9$ and $2$ vertical lines out of $9$.The number of ways to select $2$ horizontal lines is $^9C_2$.The number of ways to select $2$ vertical lines is $^9C_2$.Therefore,the total number of rectangles is $^9C_2 	imes ^9C_2$.Hence,option $(C)$ is correct.

Find the total number of rectangles on a normal chessboard.

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