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?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
Related questions
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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
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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