Questions
The number of ways of dividing 15 men and 15 women into 15 couples, each consisting of a man and a woman, is
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a
1240
b
1840
c
1820
d
2005
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Correct option is A
The number of ways of choosing first couple is 15C1 15C1=152. The number of ways of choosing 2nd couple is 14C1 14C1=142, and so on. Thus, the number of ways of choosing the couples is152+142+132+…+22+12=15×(15+1)[2(15)+1]6=1240Similar Questions
The total number of ways of dividing distinct objects into n equal groups is
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