An automobile manufacturer has three different subcompact cars in the line. Customers selecting one of these cars have a choice of three engine sizes, three body styles, and six color schemes. How many different selections can a customer make?

Question

Mathematics

Alma Dickson

6 July, 06:39

An automobile manufacturer has three different subcompact cars in the line. Customers selecting one of these cars have a choice of three engine sizes, three body styles, and six color schemes. How many different selections can a customer make?

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Answers (1)

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Dylan Short · Answer 1

Number of different selections a customer can make = 54

Step-by-step explanation:

To solve this question, we simply need to see how many different combinations we can make from the given choices.

Let's first imagine just making two choices. The color of the car is fixed and we need to determine which engine size we want, and then which body style we want. If I select an engine size, i can make 3 choices for the body style. Since I can select 3 engine sizes, the total number of choices in this scenario would be 3 * 3 = 9

Similarly, if we want to find the different possible number of selections a person can make, we simply need to multiply the number of choices he has with each other. This is given below:

Number of selections = Engine Sizes * Body Styles * Color

Number of selections = 3 * 3 * 6

Number of selections = 54