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Question

The number of ways of selecting 15 teams from 15 men and 15 women, such that each team consists of a man and a woman, is :

A
1960
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B
1880
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C
1120
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D
1240
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Solution

The correct option is D 1240
Required no. of ways =15C1.15C1+14C1.14C1+.........+1C1.1C1
=152+142+132+.........+22+12

=15(15+1)(15×2+1)6=1240

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