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Homework Help: 2 person committee

  1. Jul 11, 2015 #1
    1. The problem statement, all variables and given/known data
    In how many ways can a president and a 2-person committee be chosen from a group of 8 people (where the order in which we choose the 2 people doesn't matter)? (The president cannot be on the committee.)

    2. Relevant equations
    nCr = n!/(r!*(n-r!))

    3. The attempt at a solution
    8C1(for president) * 7C2(for committee)
    =
    8*21
    =
    168 ways

    Did I do it right?
     
  2. jcsd
  3. Jul 11, 2015 #2

    mfb

    User Avatar
    2017 Award

    Staff: Mentor

    Correct.
     
  4. Jul 11, 2015 #3
    Yes. There are also multiple ways to do this problem. You could have done [itex]{}_8 C_3 \times 3 = 168[/itex].
     
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