Question

A person can order a new car with a choice of 6 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? There are different ways that a new car can be ordered.

Answer 1

Answer: 48

Step-by-step explanation:

Given : Number of choices for colors = 6

Number of choices for car with AC or without AC= 2

Number of  choices for car with or without automatic transmission=2

Number of  choices for car with or without a CD player=2

By using FUNDAMENTAL COUNTING PRINCIPLE, the number of different ways that a new car can be ordered is given by :-

$6\times2\times2\times2=48$

Hence, there are 48 different ways that a new car can be ordered.