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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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  1. 2 May, 08:47
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    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.
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