A person can order a new car with a choice of 9 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?

Answer 1

To find the number of different ways a person can order a new car with these options, we can consider each option separately and multiply the corresponding number of choices together.

For the color option, there are 9 choices.

For the air conditioning option, there are 2 choices (with or without).

For the automatic transmission option, there are also 2 choices (with or without).

For the power windows option, there are 2 choices (with or without).

For the CD player option, there are 2 choices (with or without).

To find the total number of different ways, we multiply all the choices together:

9 colors × 2 choices for air conditioning × 2 choices for automatic transmission × 2 choices for power windows × 2 choices for CD player = 9 × 2 × 2 × 2 × 2 = 9 × 16 = <<9*16=144>>144.

Therefore, there are 144 different ways a person can order a new car with regard to these options.