Question

Use the Basic Counting Law, Permutations, or Combinations to answer the following:

1. there are 12 members on the board of directors for the Newport general hospital.

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 committee of four members, how many different subcommittees are possible?

Answer 1

Number of members on the board = 12

a)

Positions to elect : a chairperson, first vice chair person, second vice chair person and secretary

Number of positions = 4

Permutations : Different slates of candidates that are possible =

b)

Committee of four members

Combinations

Different sub committees possible =