Question

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There are 37 members on the board of directors for a certain non-profit institution.
A. if they must elect a chairperson, first vice chairperson, second vice chairperson, and secretary, how many different slates of candidates are possible?
B. If they must form an ethics subcommittee
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Answer #1
A : there are different slates of candidates possible = 31*30*29*28 =

B : there are different ethics subcommittees possible = 31!/(27!*4!)
= (31*30*29*28)/24 =

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