JEE Main 2015 Mathematics 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
Answer: (2)
Solution
Every man must be used exactly once and every woman exactly once, since 15 teams each take one of each and there are exactly 15 of each. Forming the teams is therefore the same as choosing a one-to-one pairing of the 15 men with the 15 women — that is, a bijection from the set of men to the set of women. Line the men
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