# Math - probability!

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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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