A person can order a new car with a choice of 9 possible colors, with or without ac, with or without heated seats, with it without anti lock breaks, with or without power windows and with or without a CD player. How many different ways can a new car be ordered with these options ?

Answer 1

Since the options are all independent, the total number of ways is the product of the number of each individual option, for example,
9 colours * with or without AC
=9*2=18 ways.
Keep going with the other options to get
Total
=9*2*2*2*2*2
=288

Answer 2

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?