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counting and probability intermediate

Problem

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 three different objects that can be played by either gender?
Solution
There are 4 ways to select the female lead and 4 ways to select the male lead. Afterwards, there are 6 members who can play the first inanimate object, 5 who can play the second, and 4 for the last.

Therefore, the answer is
Final answer
1920\text{ ways.}