Question

A person can order a new car with a choice of 13 possible colors, with or without air conditioning, with or without automatic transmission, with or without power windows, and with or without a CD player. In how many different ways can a new car be ordered with regard to these options?

Answer 1

Step-by-step explanation

From the statement, we know that a person can order a new car by choosing between:

0. 13 possible​ colors (13 possibilites),

,

1. with or without air​ conditioning (2 possibilities),

,

2. with or without automatic​ transmission (2 possibilities),

,

3. with or without power​ windows (2 possibilities),

,

4. with or without a CD player (2 possibilities).

The number of different ways that the person has to order the car is the product of the number of possibilities for each option:

`13*2*2*2*2=208.`Answer

The person has 208 different ways to order the new car.