Results 1 to 2 of 2

Math Help - No. of Ways....

  1. #1
    Senior Member
    Joined
    Jul 2008
    Posts
    347

    Exclamation No. of Ways....

    Find the number of ways in which the letters of the word EPSILON can be arranged in a row so that the three vowels are all next to each other.

    Is it just 5 * 3! * 4!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by xwrathbringerx View Post
    Find the number of ways in which the letters of the word EPSILON can be arranged in a row so that the three vowels are all next to each other.

    Is it just 5 * 3! * 4!
    Put the vowels in a box labelled X.

    So now you have to arrange PSLNX: 5!

    But the vowels in the box can be arranged: 3!

    So the total number of arrangements is (5!)(3!) which is the same as your answer. So you are correct.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. How many ways
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: September 23rd 2011, 10:01 AM
  2. How many ways...
    Posted in the Discrete Math Forum
    Replies: 6
    Last Post: September 22nd 2010, 12:30 PM
  3. in how many ways?
    Posted in the Algebra Forum
    Replies: 5
    Last Post: May 7th 2009, 09:11 AM
  4. how many ways could you
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: February 25th 2008, 05:10 PM
  5. in how many ways can...
    Posted in the Statistics Forum
    Replies: 2
    Last Post: May 13th 2007, 07:37 AM

Search Tags


/mathhelpforum @mathhelpforum