Results 1 to 3 of 3

Math Help - combinatorics - combination & permutation?

  1. #1
    Newbie
    Joined
    May 2010
    Posts
    3

    combinatorics - combination & permutation?

    How many words can be made using the letters of the word SYZYGY? (words of abitrary lengths is allowed)

    I understand that for at most one Y, so thess are the words made out of SYZG, the number of ways of doing it is 65

    but then I dunno how to find the rest,,

    can someone explain it please?

    The answer is:

    Two Ys ((3C0)2!+(3C1)3!+(3C2)4!+(3C3)5!)/2=106

    With All Three Ys ((3C0)3!+(3C1)4!+(3C2)5!+(3C3)6!)/3!=193

    Adding the sum together: 65+106+193=364

    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Oct 2009
    Posts
    95
    Quote Originally Posted by sofialam View Post
    How many words can be made using the letters of the word SYZYGY? (words of abitrary lengths is allowed)

    I understand that for at most one Y, so thess are the words made out of SYZG, the number of ways of doing it is 65

    but then I dunno how to find the rest,,

    can someone explain it please?

    The answer is:

    Two Ys ((3C0)2!+(3C1)3!+(3C2)4!+(3C3)5!)/2=106

    With All Three Ys ((3C0)3!+(3C1)4!+(3C2)5!+(3C3)6!)/3!=193

    Adding the sum together: 65+106+193=364

    Thanks!
    I don't understand the question. If words of arbitrary length are allowed then there are an infinite number of words.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    May 2010
    Posts
    3
    oh! umm.. then each letter can only use once, so the longest length would be 6.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Should I use permutation or combination in here?
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: July 8th 2010, 07:36 PM
  2. Permutation and combination Q
    Posted in the Discrete Math Forum
    Replies: 9
    Last Post: June 19th 2010, 12:35 PM
  3. Permutation or Combination?
    Posted in the Algebra Forum
    Replies: 2
    Last Post: March 14th 2009, 08:51 PM
  4. Permutation or Combination?
    Posted in the Statistics Forum
    Replies: 3
    Last Post: February 24th 2009, 03:17 PM
  5. permutation and combination
    Posted in the Statistics Forum
    Replies: 1
    Last Post: June 25th 2008, 08:47 AM

Search Tags


/mathhelpforum @mathhelpforum