Question

A band is choosing 3 new back up singers from my group of 18 who try out how many ways can they choose the new singers

Answers

  1. There are 816 ways to choose the new singers

    How many ways can they choose the new singers?

    The given parameters are:
    Number of band members, n = 18
    Number of back up singers, r = 3
    The number of ways the new singers can be chosen is calculated as:
    Ways = nCr
    Apply the combination formula
    Ways = n!/((n – r)! * r!)
    This gives
    Ways = 18!/(15! * 3!)
    Expand
    Ways = 18 * 17 * 16 * 15!/(15! * 3* 2 * 1)
    Evaluate the product and the quotient
    Ways = 4896/6
    Evaluate the quotient
    Ways = 816
    Hence, there are 816 ways to choose the new singers
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