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 ! = [tex]\frac{n!}{r!(n-r)!}[/tex]
13 C 4! = [tex]\frac{13!}{3!(10)!}[/tex]
= [tex]\frac{11.12.13}{2.3}[/tex]
= 286
Health inspector can pick 3 restaurants of 13 restaurants on Monday in 286 ways
