SOLUTION: A play has two male roles, two female roles and two roles that can be either gender. Only a man can be assigned to a male role, and only a woman can be assigned to a female role. I

Question 849596: A play has two male roles, two female roles and two roles that can be either gender. Only a man can be assigned to a male role, and only a woman can be assigned to a female role. If five men and six women audition, in how many ways can the six roles be assigned?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
5*4 for the male roles
6*5 for the female roles
after they are assigned
7*6 for the either gender
20+30+42 =92 total ways
or
20*30*42= 25200 total ways
Not sure if you should add them or multiply them.

RELATED QUESTIONS
Hello, I have a hard time trying to determine how to exactly go about solving this... (answered by ikleyn)

5 actors and 8 actresses are available for a play which required 3 male roles and 4... (answered by Boreal)

In Oscar Wilde's play "The Importance of Being Earnest", there are 5 male roles and 4... (answered by ewatrrr)

A theater company with 10 actors is putting on a play that has 4 roles. In how many... (answered by ewatrrr)

Please help me with these problems: 1) Liza wants to take three travel books with her (answered by stanbon)

A drama teacher is randomly choosing students for r different roles in a play. There are... (answered by stanbon,richwmiller)

Grade Female Male 9th Female 4 Male 6 10th Female 5 Male 5 11th Female 4 (answered by Theo)

Team A has 7 male and 3 female players, and team B has 6 male and 4 female players.Two... (answered by sudhanshu_kmr)

The question is, What is the probability that a randomly selected student is either a... (answered by jim_thompson5910)