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Q.

The number of rectangles that can be found on a chess board is

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a

$^{9} C_{2} .^{9} C_{2}$

b

$^{8} C_{2}$

c

$^{8} C_{2} .^{8} C_{2}$

d

$^{64} C_{4}$

answer is C.

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Detailed Solution

No of rectangles formed on chess board. In a chess board there are 9 horizantal lines which inter sect 9 vertical lines.

$\Rightarrow$ No of rectangles formed ${}^{9}{C_{2}} \times {}^{9}{C_{2}}$

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The number of rectangles that can be found on a chess board is