Question

A casting director wishes to find one male and one female to cast in his play. If he plans to audition 11 males and 9 females, in how many different ways can this be done?

Answer 1

EXPLANATION

Since there are 11 males and 9 females out of wich 1 male and 1 female is to be selected.

The number of ways to select 1 male from 11 are 11C_1

The number of ways to select 1 female from 9 are 9C_1

So, the number of ways to select 1 male and 1 female is:

n = 11C_1 x 9C_1

n = 99

Answer: This can be done in 99 different ways.