The 2013 Sierra 1500 pickup truck by GMC comes with six body

The 2013 Sierra 1500 pickup truck by GMC comes with six body styles, two drive types, nine exterior colors, two interior colors, two styles of wheels, three choices of engines, and three choices of automatic transmissions. How many different models of the pickup truck can be built on the basis of these options?

Solution

The different models of the pickup truck that can be built on the basis of these options are:

= 6! x 2! x 9! x 2! x 2! x3! x 3!