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28 January, 21:52

In a car dealership there are 5 models that get displayed in a line in the front of the parking lot for prime viewing. The dealership sells 15 different models. In how many ways can the 5 models be displayed

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  1. 28 January, 22:09
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    360360

    Step-by-step explanation:

    We have the following information:

    Number of ways of choosing 5 car models from 15 different models = 15C5

    Number of arranging above 5 models = 5!

    Therefore, the total number of displayong 5 models would be:

    15C5 * 5!

    nCr = n! / (r! * (n-r) !)

    we replace:

    15! / (5! * (15-5) !) * 5! = 15! / 10! = 360360

    So there are a total of 360 360 ways to display the 5 car models.
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