Automobiles come with several options. You may choose the exterior color, the interior color, air conditioning, tape or CD player, power windows, security systems, and so on. In the following problems, you will explore how many choices a buyer would have if given certain options.
1. If you choose a sport car, you have the choice of six models. If you choose a van, you have a choice of four models. How many different choices to you have? Explain your answer.
2. As the buyer, you will need to choose from four different exterior colors (white, red, indigo blue, and ocean green) and three different interior colors (white, tan, and gray.) How many different color combinations are possible?
3. You may choose between a sports car (6 models) and a van (4 models) with the interior and exterior choices of problem two. How many different combinations are possible for you to choose from?