Suppose you are looking for a new car and have narrowed down your decision down to a Mustang, but can’t decide on the exact color, transmission, engine, or options package. There are three sizes of engine (3.0 liters, 3.8 liters, and 4.6 liters), two transmissions (standard and automatic), five colors you like (black, silver, red, yellow, and green), and three option packages (GL, Sport, and XL). With all these possible choices, you want to know how many different Mustangs there are from which you must choose. How many different Mustangs are possible?
Use the multiplication principle: each engine choice can be paired with either of 2 transmissions, any of 5 colors, and any of 3 option packages. Thus, the total is 3 × 2 × 5 × 3 = 90 different Mustangs. The correct choice is 90 different Mustangs.
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