Results 1 to 2 of 2

Math Help - permutation and combination

  1. #1
    MHF Contributor
    Joined
    Sep 2008
    From
    West Malaysia
    Posts
    1,261

    permutation and combination

    There are 2 rows of chairs . The first row has 2 chairs and the second row has 4 chairs . In how many ways can 6 people be seated if a couple from the group must sit in the same row ?


    THanks in advance
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member pankaj's Avatar
    Joined
    Jul 2008
    From
    New Delhi(India)
    Posts
    317
    if couple sits in row containing 2 chairs then they can arrange themselves in 2! ways and the rest of the 4 people can arrangethemselves in 4! ways i.e the 6 persons can sit in 2! X 4! ways.

    if they coose to sit in row containing 4 chairs then they can arrange themselves in 4X3=12 ways and the rest of the 4 persons can arrange themselves in 4! ways.i.e the 6persons can arrange themselves in 12X4! ways.

    Therefore,total no.of ways=2!X4!+12X4!=14X4!=336ways
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Permutation and Combination
    Posted in the Statistics Forum
    Replies: 3
    Last Post: October 21st 2008, 07:14 AM
  2. combination/permutation
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: October 16th 2008, 11:40 PM
  3. Permutation and Combination
    Posted in the Statistics Forum
    Replies: 2
    Last Post: September 28th 2008, 09:37 PM
  4. Permutation and Combination
    Posted in the Statistics Forum
    Replies: 5
    Last Post: February 16th 2008, 01:17 PM
  5. Combination/Permutation
    Posted in the Statistics Forum
    Replies: 6
    Last Post: September 11th 2007, 03:42 PM

Search Tags


/mathhelpforum @mathhelpforum