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Permutations and Combinations
The no. of rectangles in a chess board is ?
$\begin{array}{1 1} 64 \\ 648 \\ 1296 \\ 2592 \end{array}$
jeemain
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class11
ch7
permutations-and-combinations
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asked
Aug 27, 2013
by
rvidyagovindarajan_1
edited
Apr 5, 2016
by
meena.p
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1 Answer
In a chess board there are 9 vertical lines and 9 horizontal lines.
To form a rectangle we need 2 vertical lines and two horizontal lines at a time.
$\therefore $ Total no. of rectangles = $^9C_2.^9C_2=36\times36=1296$
answered
Aug 27, 2013
by
rvidyagovindarajan_1
edited
Dec 20, 2013
by
meenakshi.p
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