Results 1 to 4 of 4

Thread: group of people

  1. #1
    Senior Member
    Joined
    May 2016
    From
    england
    Posts
    301
    Thanks
    2

    group of people

    a group of 8 people is to be chosen from 8 men and 6 women. whats the probability that the group contains the same number of men and women?
    i tried
     (8/14)^4  *(6/14)^4
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2010
    Posts
    2,381
    Thanks
    902

    Re: group of people

    $\dfrac{\dbinom{8}{4}\dbinom{6}{4}}{\dbinom{14}{8} } = \dfrac{50}{143}$
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,088
    Thanks
    2569
    Awards
    1

    Re: group of people

    Quote Originally Posted by markosheehan View Post
    a group of 8 people is to be chosen from 8 men and 6 women. whats the probability that the group contains the same number of men and women?
    i tried
     (8/14)^4  *(6/14)^4
    If you look in the back of the book it says the answer is:
    $\dfrac{\dbinom{8}{4}\dbinom{6}{4}}{\dbinom{14}{8} }$

    Now you must explain that answer.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Senior Member
    Joined
    May 2016
    From
    england
    Posts
    301
    Thanks
    2

    Re: group of people

    i get it now. its 4 men and 4 women all over the total choices
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Probability of People Sitting In Between People
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: Sep 18th 2014, 01:56 PM
  2. Replies: 1
    Last Post: Dec 2nd 2012, 08:17 PM
  3. Replies: 1
    Last Post: Feb 14th 2011, 07:18 AM
  4. Replies: 1
    Last Post: Nov 4th 2009, 09:52 AM
  5. Quick questions on Group Theory - Cosets / Normal Group
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: Oct 16th 2009, 08:39 AM

/mathhelpforum @mathhelpforum