Results 1 to 3 of 3

Math Help - 2 round tables, no. of ways of seating

  1. #1
    Super Member
    Joined
    Dec 2009
    Posts
    755

    2 round tables, no. of ways of seating

    Belle and Candy went out with 8 other friends to have lunch at a restaurant. They were shown to 2 round tables: one a 4-seater, and the other a 6-seater.

    Find the no. of ways the members of this group could be seated if Belle and Candy wish to sit next to each other.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Dec 2009
    Posts
    755

    Re: 2 round tables, no. of ways of seating

    I broke them up into 2 cases:

    Case 1: Belle and Candy sits at 6 seater = 8C4 x 4! x 4C4 x 3!

    Case 2: Belle and Candy sits at 4 seater = 8C2 x 2! x 6C6 x 5!

    Adding them up gives 16800 but answer is 33600 (2times my answer)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Dec 2009
    Posts
    755

    Re: 2 round tables, no. of ways of seating

    ok... figured it out, I forgot to include shuffling belle and candy in their own world
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Best ways to learn multiplication tables?
    Posted in the Algebra Forum
    Replies: 13
    Last Post: August 6th 2012, 12:43 AM
  2. The round Table
    Posted in the Geometry Forum
    Replies: 1
    Last Post: September 11th 2010, 10:06 AM
  3. Ways of seating people around a circular table
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: November 14th 2009, 12:28 PM
  4. Replies: 1
    Last Post: October 13th 2008, 06:14 PM
  5. Round Up
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 25th 2008, 04:44 PM

Search Tags


/mathhelpforum @mathhelpforum