A person can order a new car with a choice of 8 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?  

Respuesta :

Answer:

10 x 2! x 2! x 2! x 2! = 10 x 16 = 160 ways.

Step-by-step explanation:

There are 128 ways that a new car can be ordered about the given following options.

What is the fundamental principle of multiplication?

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

A person can order a new car with a choice of 8 possible​ colors, with or without airconditioning, with or without automatictransmission, with or without powerwindows, and with or without a CD player.

8 x 2! x 2! x 2! x 2! = 8 x 16

                                = 128 ways.

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