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21. 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?

21. 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?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Answer to a) is 2,743,372,800

Answer to b) is 2,472,422,400

Answer to c) is 8,892,185,702,400

C 21. 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?
Transcribed Image Text:C 21. 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?
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