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10-05-2018
Mathematics

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Assume a class has 17 members.
a. In how many ways can a president, a vice president, and a secretary be selected?
b. How many committees of 5 people can be chosen?

Respuesta :

MsEHolt MsEHolt

20-05-2018

A) 4080
B) 6188

A is a permutation, since order would matter:
[tex]P(17, 3)=\frac{17!}{(17-3)!}=\frac{17!}{14!}=4080[/tex]

B is a combination, since order does not matter:
[tex]_{17}C_5=\frac{17!}{5!12!}=6188[/tex]

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