Question

You are placing an order for a new car. The manufacturer offers several choices for various aspects of the car. They offer 11 different exterior colors. They offer a 4-door body, a 2-door body, a convertible, and a sport style. The maker also offers 5 different variations on the interior and four different motor selections. You must choose one from each group. In total how many different arrangements for the car are possible?

Answer 1

The total number of different arrangements for the car is 880.

Step-by-step explanation:

To calculate the total number of different arrangements for the car, we need to multiply the number of choices for each aspect of the car.

You may multiply the number of options available for each aspect (outside color, body type, interior, and motor selection) to determine the total number of possible configurations for the car.

There are the following number of options for each aspect:

11 options for exterior colors

There are four options for body styles: sport, convertible, 2-door, and 4-door.

Five options for interior variations

Four options for motor selections

For the exterior color, there are 11 choices. For the body style, there are 4 choices. For the interior variation, there are 5 choices. And for the motor selection, there are 4 choices.

Therefore, the total number of different arrangements for the car is:

11 x 4 x 5 x 4 = 880.