Question

A health inspector must visit 3 of 13 restaurants on Monday. In how many way can she pick 3 restaurants?

Answer 1

Health inspector can pick 3 restaurants of 13 restaurants on Monday in 286 ways

Explanation:

A health inspector must visit 3 of 13 restaurants on Monday.

In how many way can she pick 3 restaurants = 13 C 4 !

nCr ! =
`(n!)/(r!(n-r)!)`

13 C 4! =
`(13!)/(3!(10)!)`

=
`(11.12.13)/(2.3)`

= 286

Health inspector can pick 3 restaurants of 13 restaurants on Monday in 286 ways