Question

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?

Answer 1

The correct answer is 288.

Explanation:

A person has to order a new car.

He has a choice of 9 colors.

Other parameters include air conditioning, heated seats, anti-lock brakes, power windows, CD player.

Each of these parameters he have two options each.

Therefore the number of different ways can a new car be ordered in terms of these options is given by 9× 2 × 2 × 2 × 2 × 2 = 288.

The person have 288 ways of choosing which kind of car is he going to order for himself.