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21 April, 10:44

There are 15 people on a basketball team, and the coach needs to choose 5 to put into

a game. How many different possible ways can the coach choose a team of 5 if each

person has an equal chance of being selected?

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Answers (1)
  1. 21 April, 11:48
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    The coach can do this in 3,003 ways

    Step-by-step explanation:

    Here, the coach needs to select a team of 5 from a total of 15 players

    Mathematically, the number of ways this can be done is simply 15 C5 ways

    Generally, if we are to select a number of r items from n items, this can be done in nCr ways = n! / (n-r) ! r!

    Applying this to the situation on ground, we have;

    15C5 = 15! / (15-5) !5! = 15!/10!5! = 3,003 ways
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