A customer can choose one of three amplifiers, one of two compact disc players, and one of five speaker models for an entertainment system. Determine the number of possible system configurations.

Question

Moose

Mathematics

2 May, 08:45

A customer can choose one of three amplifiers, one of two compact disc players, and one of five speaker models for an entertainment system. Determine the number of possible system configurations.

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Answers (1)

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Rohan · Answer 1

Answer: There are 30 possible system configurations.

Step-by-step explanation:

Given : Number of choices for amplifiers = 3

Number of choices for compact disc players = 2

Number of choices for speaker models = 5

Then by Fundamental counting principle, we have

The total number of possible system configurations = (Number of choices for amplifiers) x (Number of choices for compact disc players) x (Number of choices for speaker models)

= 3 x 2x 5 = 30

Hence, there are 30 possible system configurations.