Solve Counting Problems Using the Multiplication Rule
-A person can order a new car with a choice of 9 possible colors, with or without air conditioning, with or without heated seats, with or without anti-lock brakes, with or without power windows, and with or without a CD player. In how many different ways can a new car be ordered in terms of these options
A) 288
B) 144
C) 576
D) 18

Question

Quizplus · Accepted Answer

There are 9 choices for color, 2 choices for air conditioning, 2 choices for heated seats, 2 choices for anti-lock brakes, 2 choices for power windows, and 2 choices for a CD player. By the Multiplication Rule, the number of different ways a new car can be ordered is 9 * 2 * 2 * 2 * 2 * 2 = 288.