1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
    2016 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].
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: 2 person committee
Loading...