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

Step-by-step solution

First team can be selected in ( 15 C 1 . 15 C 1 ) way, second in ( 14 C 1 . 14 C 1 ) way and so on. So, number of ways of selecting 15 teams = 15 ! 2 15 ! = 15 !