In how many ways can the teacher cast the play

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There are 18 students involved in the class production of Arsenic and Old Lace.

a) In how many ways can the teacher cast the play if there are five male roles and seven female roles and the class has nine male and nine female students?

b) In how many ways can the teacher cast the play if Jean will play the young female part only if Jovane plays the male lead?

c) In how many ways can the teacher cast the play if all the roles could be played by either a male or a female student?

Reference no: EM132850248

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