Results 1 to 2 of 2

Math Help - Help IN Explaining a Permutations Question

  1. #1
    Junior Member
    Joined
    Oct 2008
    Posts
    29

    Help IN Explaining a Permutations Question

    How many ways can three of the letters in the word 'KANATA' be arranged?

    The total number of three letter combinations is supposed to be 34, but I don't understand how to calculate this number.

    I thought that it would be 6!/(3!x(6-3)!) = 20 since there are six letters to choose from, but we are limited to choosing only 3 letters and also 3 letters repeat.

    Can someone explain to me the logic to solve this?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,959
    Thanks
    1783
    Awards
    1
    Quote Originally Posted by zerobladex View Post
    How many ways can three of the letters in the word 'KANATA' be arranged?
    Find the number of ways with no a's, one a, two a's, and then three a's.
    Add those up.
    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: September 13th 2010, 04:24 PM
  2. Permutations Question
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: September 21st 2009, 05:30 AM
  3. Permutations Question
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: June 30th 2008, 08:59 PM
  4. need explaining
    Posted in the Calculus Forum
    Replies: 5
    Last Post: January 7th 2008, 07:54 PM
  5. Replies: 5
    Last Post: September 2nd 2007, 02:35 PM

Search Tags


/mathhelpforum @mathhelpforum