There are 42 faculty members who make an education committeeA. Th.pdf

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There are 42 faculty members who make an education committee: A. There are five seats labeled chair, vice chair, secretary, treasurer, and member. How many committees can be formed? B. there are five seats and no particular order to the members that need to serve on the committee. How many committees can be formed? Please show work ! Thanks! Solution A) 42P5 = 42! / (42 - 5)! = 42! / 37! = 38*39*40*41*42 B) 42C5 = 42! / 37! * 5! = 38*39*40*41*42 / (2*3*4*5).

There are 42 faculty members who make an education committee:
A. There are five seats labeled chair, vice chair, secretary, treasurer, and member. How many
committees can be formed?
B. there are five seats and no particular order to the members that need to serve on the
committee. How many committees can be formed?
Please show work ! Thanks!
Solution
A) 42P5 = 42! / (42 - 5)! = 42! / 37! = 38*39*40*41*42
B) 42C5 = 42! / 37! * 5! = 38*39*40*41*42 / (2*3*4*5)

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