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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?

 Jan 9, 2022
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There are  4Cways to choose 1 female from 4 females.

Similarly, there are 4Cways 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.

 Jan 9, 2022

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