Results 1 to 4 of 4

Math Help - Groups of men and women

  1. #1
    Newbie
    Joined
    Feb 2010
    Posts
    10

    Groups of men and women

    A group of 4 journalists is to be chosen to cover a murder trial. There are 5 male and 7 female journalists available. How many possible groups can be formed, consisting of 2 men and 2 women?

    Here's what I have so far, I'd greatly appreciate any help

    Men: 5 C 2 = 21
    Women: 7 C 2 = 10

    Would I then multiply these (21 x 10 = 210)?

    Thanks in Advance!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Apr 2008
    Posts
    1,092
    Yes, you would multiply them. A slight correction:

    _7 C_2 = 21
    _5 C_2 = 10
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Feb 2010
    Posts
    10

    Smile

    Yay thanks so much I think I might be learning something!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Dec 2009
    Posts
    3,120
    Thanks
    1
    Quote Originally Posted by PiratePrincess View Post
    A group of 4 journalists is to be chosen to cover a murder trial. There are 5 male and 7 female journalists available. How many possible groups can be formed, consisting of 2 men and 2 women?

    Here's what I have so far, I'd greatly appreciate any help

    Men: 5 C 2 = 21
    Women: 7 C 2 = 10

    Would I then multiply these (21 x 10 = 210)?

    Thanks in Advance!
    Yes,

    \binom{5}{2}=10 calculates the number of distinct groups of 2 men from the 5 available.

    \binom{7}{2}=21 finds the number of groups of 2 women that can be selected from 7 women.

    As any male group can be paired with any female group, the numbers of groups are multiplied.

    M1W1 M1W2 M1W3......M1W21
    M2W1 M2W2 M2W3.... M2W21
    M3W1 M3W1 M3W3.... M3W21

    all the way to the final pairings

    M10W1 M10W2 M10W3......M10W21
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Committees with 12 men and 8 women
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: May 16th 2010, 04:40 AM
  2. Replies: 4
    Last Post: September 18th 2009, 11:56 PM
  3. Replies: 2
    Last Post: April 15th 2009, 06:23 PM
  4. Man and a Women Same Birthday
    Posted in the Algebra Forum
    Replies: 1
    Last Post: March 27th 2007, 07:07 AM
  5. A man and A women
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: February 11th 2007, 06:16 AM

Search Tags


/mathhelpforum @mathhelpforum