In a car race, there are 6 Chevrolets, 4 Fords, and 2 Pontiacs.

Question

In how many ways can the 12 cars finish if we consider
only the makes of the cars?

Answer 1

considering cars, there are 12! ways

now, considering ways..

Ways= 12!/(6!4!2!)

Answer 2

12!/[6!*4!*2!] = (7*8*9*10*11*12)/(2*24)
= 13,860