Using the Fundamental Counting Theorem, it is found that the buyer has 180 choices.
Fundamental counting theorem:
States that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this question:
- The options are independent.
- There are 5 different exterior colors, hence
.
- There are 3 different interior colors, hence
.
- There are 2 sound systems, hence
.
- There are 3 motor designs, hence
.
- There are 2 transmission options, hence
.
Then:
The buyer has 180 choices.
To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/25799621