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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 :

1960

1880

1240

1120

Solution:

Required no. of ways=15C1.15C1+14C1.14C1+.+1C1.1C1=152+142+132+.+22+12=15(15+1)(15×2+1)6=1240