Q:

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.

Accepted Solution

A:
Answer: 48Step-by-step explanation:Given : Number of choices for colors = 6Number of choices for car with AC or without AC= 2Number of  choices for car with or without automatic transmission=2Number of  choices for car with or without a CD player=2By using FUNDAMENTAL COUNTING PRINCIPLE, the number of different ways that a new car can be ordered is given by :-[tex]6\times2\times2\times2=48[/tex]Hence, there are 48 different ways that a new car can be ordered.