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5 May, 07:03

To conduct an experiment, researches randomly select five students from a class of 18. How many different groups of five students are possible? groups

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  1. 5 May, 10:27
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    8568 ways

    Step-by-step explanation:

    We have to in this particular case the order to find a 5 person group out of a class of 18, when order does not matter, we use combinations. In this case n = 18 and r = 5.

    We have that the combination formula is:

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

    replacing we have:

    18C5 = 18! / (5! * (18-5) !)

    18C5 = 8568

    What it means in total are 8568 ways of arms groups.
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