A casting director wishes to find one male and one female to cast is his play. If he plans to audition 5 males and 7 females, in how many different ways can this be done? DO NOT put a comma in your response.

Question

A casting director wishes to find one male and one female to cast is his play.  If he plans to audition 5 males and 7 females, in how many different ways can this be done?  DO NOT put a comma in your response.

MathMate · Accepted Answer

Order is not important, so 5 ways to find a male, and 7 ways to find a female. Using the rule of multiplication, the number of ways to find a male and a female actor is 7*5=35 ways.