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Ksju [112]
2 years ago
5

A buyer of a new sedan can custom order the car by choosing from 5

Mathematics
1 answer:
Alenkinab [10]2 years ago
5 0

Using the Fundamental Counting Theorem, it is found that the buyer has 180 choices.

Fundamental counting theorem:

States that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

In this question:

  • The options are independent.
  • There are 5 different exterior colors, hence n_1 = 5.
  • There are 3 different interior colors, hence n_2 = 3.
  • There are 2 sound systems, hence n_3 = 2.
  • There are 3 motor designs, hence n_4 = 3.
  • There are 2 transmission options, hence n_5 = 2.

Then:

N = 5 \times 3 \times 2 \times 3 \times 2 = 180

The buyer has 180 choices.

To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/25799621

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