Statement-1: Number of rectangles on a chessboard is `.^(8)C_(2)xx.^(8)C_(2)`.
Statement-2: To form a rectangle, we have to select any two of the horizontal lines and any two of the vertical lines.

Options

A. Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1
B. Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1
C. Statement-1 is true, statement-2 is false
D. Statement-1 is false, statement-2 is true

Answer

d

Explanation

In a chessboard, there are 9 horizontal lines and 9 vertical lines.
`therefore`Number of rectangles of any size are `.^(9)C_(2)xx.^(9)C_(2)`.
Hence, statement-1 is fale and statement-2 is true.