Question

In how many ways can a committee of 2 men and 1 woman be formed from a group of 12 men and 12 ​women

Answer 1

2 Men have to be picked from the 12 Men :   12 C 2
 
                                                                    = (12*11)/(2*1) = 66

1 Woman have to be picked from the 12 Women :   12 C 1
 
                                                                    = (12)/(1) = 12

Total Number of ways = 66 * 12 = 792

792 ways.