Results 1 to 2 of 2

Math Help - Basic Permutations Question

  1. #1
    Junior Member
    Joined
    Apr 2010
    Posts
    26

    Basic Permutations Question

    In how many ways could you pick 3 workers to represent the company at a forum if there are 39 women and 56 men in the group and
    a) no restrictions are made
    b) there must be at least one of each gender
    c) Ken and Laura would never work together as representatives

    i think for a) the answer is 138415 as its nCr(95,3)

    but im not sure about b or c, so if someone could give me a hand it would be greatly appreciated
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor undefined's Avatar
    Joined
    Mar 2010
    From
    Chicago
    Posts
    2,340
    Awards
    1
    Quote Originally Posted by gbooker View Post
    In how many ways could you pick 3 workers to represent the company at a forum if there are 39 women and 56 men in the group and
    a) no restrictions are made
    b) there must be at least one of each gender
    c) Ken and Laura would never work together as representatives

    i think for a) the answer is 138415 as its nCr(95,3)

    but im not sure about b or c, so if someone could give me a hand it would be greatly appreciated
    a) correct.
    b) take answer from (a) and subtract combinations that are all women, also all men.
    c) take answer from (a) and subtract combinations that have Ken and Laura (hint: say you are picking three playing cards from a deck; you lay aside the ace of spades and king of hearts; how many ways can you choose the third card?).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Permutations question
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: March 23rd 2011, 02:17 AM
  2. Permutations Question
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: September 13th 2010, 03:24 PM
  3. Basic probability question with permutations
    Posted in the Statistics Forum
    Replies: 5
    Last Post: May 4th 2010, 01:42 PM
  4. permutations question. "basic"
    Posted in the Statistics Forum
    Replies: 2
    Last Post: May 12th 2009, 03:02 PM
  5. Permutations Question
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: June 30th 2008, 07:59 PM

Search Tags


/mathhelpforum @mathhelpforum