Friday, June 25, 2010

Annual Mathlympics 2009

4 men and 4 women are to be seated at a round table for dinner. If the men and women take alternate seats, how many arrangements are possible?


4 x 3 x 2 x 1 x 4 x 3 x 2 x 1 = 576 ways


The arrangement for men is 4 x 3 x 2 x 1 and the arrangement for women is also 4 x 3 x 2 x 1.

2 comments:

  1. Hi,

    based on the website that i found
    http://www.platinumgmat.com/gmat_study_guide/combinatorics

    At a round table for 8 person (4 men / 4 women), should the answer by 4!3! which is 144 ways?

    ReplyDelete