Question

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

Answer 1

The customer can make 42 different selections

Explanation:

Here, we want to know the different selections a customer can make

A customer can request 1 engine size, 1 body style and 1 colour scheme from the available set for his car

Out of 3 engine sizes , he will select 1; that will be 3 C 1

Out of 3 body styles, he will select 1, that will be 3 C 1

Out of 7 color schemes, he will select one and that is 7 C 1

So the number of different selections will be;

3 C 1 * 3 C 1 * 7 C 1

= 3 * 3 * 7 = 42 different selections