We are given that car dealership employed 4 mechanics. and 20 cars came there.
That means each employee should handle [tex]\frac{20}{4} = 5 cars[/tex]
Which means we need to choose 5 cars from 20 cars first . For that we need to use combinations since order in which car is given to mechanic does not matter.
Hence number of ways =[tex]20_{C_{5} }[/tex] =[tex]\frac{20! }{15! * 5!}[/tex] = 15504 ways of allocating.
