Question

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

Answer 1

Answer:

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

Step-by-step 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 ! = $\frac{n!}{r!(n-r)!}$

13 C 4! = $\frac{13!}{3!(10)!}$

= $\frac{11.12.13}{2.3}$

= 286

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