Question

A casting director wishes to find one male and one female to cast in his play. If he plans to audition 8 males and 10 females, in how many different ways can this be done?

Answer 1

There is 8 males and 10 females.

The director wishes to take 1 male and 1 female .

number of ways will be 8C1 for males and 10C1 for females

→ 8C1 * 10C1

= 8! /1! (8-1)! * 10! /1!(10-1)!

= 8 *7! / 7! *1 * 10*9! /9! *1

= 8 * 10

= 80

• This means that ,80, different ways are available for casting one male and one female form 8 males and 10 females .