Question

A casting director wishes to find one male and one female to cast in his play. If he plans to audition 5 males and 8 females, in how many different ways can this be done?

Answer 1

Data:

• 5 males

,

• 8 females

,

• Just 1 male and 1 female will be chosen.

Procedure:

• Number of ways for 1 male:

$5C1=5$

• Number of ways for 1 female:

$8C1=8$

• Number of ways to select one female and one male:

$5\cdot8=40$

Answer: 40