A theater group has eight members, of which four are females. How many ways are there to assign the roles of a play that involve one female lead, one male lead, and two different objects that can be played by either gender?

Guest Jan 9, 2022

#1**+1 **

There are _{4}C_{1 }ways to choose 1 female from 4 females.

Similarly, there are _{4}C_{1 }ways to choose 1 male from 4 males.

After these two roles are filled there are 2 roles to fil from 6 remaining actors. _{6}C_{2}.

Multiplying these three numbers will give you the answer.

geno3141 Jan 9, 2022