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24 March, 19:20

9.

The supervisor of a call center would like to assemble a committee of 8 people from a staff of 15 call center agents

How many different committees can be chosen?

1. 120

2. 6,435

3. 32,432,400 4.259,459,200

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Answers (1)
  1. 24 March, 21:22
    0
    Number of different committees that can be chosen = 6435

    So, option 2 is correct

    Step-by-step explanation:

    The supervisor wants to assemble a committee of 8 people from a staff of 15 call center agents.

    To solve this we will make use of the combination formula which is:

    C (n, r) = n!/[r! (n - r) !]

    Where n is population (or available number of people who can sit on the committee) and k, the number selected)

    In this question, n = 15 and r = 8

    So, we have;

    C (15,8) = 15!/[8! (15 - 8) !]

    This gives;

    C (15,8) = 15! / (8! * 7!)

    C (15,8) = 1307674368000 / (40320 * 5040) = 6435

    Number of different committees that can be chosen = 6435
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