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An automobile dealer has several options available for each of three different packages of a particular model car: a choice of two styles of seats in three different colors, a choice of four different radios, and five different exteriors. How many choices of automobile does a customer have?

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There are 360 different combinations for the car.

How many different options are there?

To count the number of different combinations, first, we need to identify the possible selections, these are:

  • Package.
  • Style of seats.
  • Radio.
  • Exterior.

The number of options for each selection is:

  • Package: 3 options.
  • Style of seats: 2 styles in 3 colors = 2*3 = 6 options.
  • Radio: 4 options
  • Exterior: 5 options.

The total number of different combinations is given by the product between the numbers of options, it gives:

C = 3*6*4*5 = 360 different combinations.

If you want to learn more about combinations, you can read:

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