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?
There are 4C1 ways to choose 1 female from 4 females.
Similarly, there are 4C1 ways to choose 1 male from 4 males.
After these two roles are filled there are 2 roles to fil from 6 remaining actors. 6C2.
Multiplying these three numbers will give you the answer.
