Results 1 to 4 of 4

Math Help - 5 boys and 4 girls in a line,no two girls together

  1. #1
    Gul
    Gul is offline
    Junior Member
    Joined
    Oct 2008
    From
    Brisbane
    Posts
    25

    5 boys and 4 girls in a line,no two girls together

    In how many ways can five boys and 4 girls be arranged in a line, with no two girls touching?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,390
    Thanks
    1476
    Awards
    1
    _|_|_|_|_|_
    The boys create six places for the four girls, choose four.
    How may ways can we arrange the boys?
    How may ways can we arrange the girls?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Gul
    Gul is offline
    Junior Member
    Joined
    Oct 2008
    From
    Brisbane
    Posts
    25
    so

    6C4*5!*4!??
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,390
    Thanks
    1476
    Awards
    1
    Quote Originally Posted by Gul View Post
    so

    6C4*5!*4!??
    By George, you have it!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Probability of boys and girls
    Posted in the Statistics Forum
    Replies: 10
    Last Post: January 8th 2011, 08:16 AM
  2. 8 boys and 10 girls in the class
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: November 29th 2010, 05:43 PM
  3. Arrangements of Boys and Girls
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: September 25th 2010, 06:22 PM
  4. boys and girls in a family
    Posted in the Statistics Forum
    Replies: 1
    Last Post: November 12th 2009, 09:38 PM
  5. Boys and Girls
    Posted in the Statistics Forum
    Replies: 5
    Last Post: November 4th 2009, 11:30 AM

Search Tags


/mathhelpforum @mathhelpforum