Question

A buyer of a new sedan can custom order the car by choosing from 5

Answer 1

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 $n_1, n_2, \cdots, n_n$ ways to be done, each thing independent of the other, the number of ways they can be done is:

$N = n_1 \times n_2 \times \cdots \times n_n$

In this question:

• The options are independent.

• There are 5 different exterior colors, hence $n_1 = 5$.

• There are 3 different interior colors, hence $n_2 = 3$.

• There are 2 sound systems, hence $n_3 = 2$.

• There are 3 motor designs, hence $n_4 = 3$.

• There are 2 transmission options, hence $n_5 = 2$.

Then:

$N = 5 \times 3 \times 2 \times 3 \times 2 = 180$

The buyer has 180 choices.

To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/25799621