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March 27, 2017

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a club has 15 members plus their president. a 5 person committee is to be formed.
A) how many committees include the president?
B) how many committees don't include the president?
C) how many committees altogether?

  • Math - probability! - ,

    a) so we need 4 more from the 15members
    = C(15,4) = 1365

    b) no president in selection
    = C(15,5) = 3003

    c) no restriction, choose 5 from the 16
    = C(16,5) = 4368

    notice: 1365 + 3003 = 4368

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