a new car buyer had the choice of 3 body styles, 2 engines, and 7 colors. How many different ways are there to select a car?

Answer 1

You have posted 7 consecutive questions without showing any sign that you have tried any of these.
Are you expecting us to simply give you the answer to them?

They are not difficult, and are of a basic type in this topic. Follow some of the examples in your text or in your class notes.

e.g. for the above:
For each of the 3 body styles, you can choose 2 engines, so far you have
3*2 or 6 ways.
For each of those 6 ways, you can choose 7 different colours, so how about

3*2*7 or 42 different ways to select a car.