contestada

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 :

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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