Question

The Standard Automotive car company offers its midsize car with 2 doors, 4 doors, or as a convertible. The car is available in 3 exterior colors and 2 interior colors. Find the number of different midsize cars the company can produce.

Answer 1

To do this problem we can use the fundamental counting principle that states in general if you have a series of choices to make, you find the total possible outcomes of the choices by multiplying the number of options for each choice together.. So if follows:
choices for midsize car:
two door or four door or convertible: 3 options
exterior colors: 3 options
interior color: 2 options

Total combined options considering the three choices:
3(3)(2) = 18 different midsize cars possible.