Results 1 to 2 of 2

Math Help - Permutations and Combinations

  1. #1
    Junior Member
    Joined
    Sep 2009
    Posts
    66

    Exclamation Permutations and Combinations

    Q. A box contains sweets of 6 different flavours. There are atleast 2 sweets of each flavour. A girl selects 3 sweets from the box. Given that these three sweets are not all of the same flavour, calculate the no. of different ways she can select her 3 sweets.
    (Answer = 50)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,605
    Thanks
    1573
    Awards
    1

    Re: Permutations and Combinations

    Quote Originally Posted by Ilsa View Post
    Q. A box contains sweets of 6 different flavours. There are atleast 2 sweets of each flavour. A girl selects 3 sweets from the box. Given that these three sweets are not all of the same flavour, calculate the no. of different ways she can select her 3 sweets. (Answer = 50)
    That answer is correct.
    There are \binom{3+6-1}{3}=56 ways to put three identical items into six different cells. But that means that some cell could have all the items. So if we require that no cell has all items the we must subtract 6.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Permutations/Combinations
    Posted in the Statistics Forum
    Replies: 3
    Last Post: February 7th 2009, 11:29 AM
  2. Permutations or Combinations? 476
    Posted in the Statistics Forum
    Replies: 2
    Last Post: September 20th 2008, 09:06 AM
  3. permutations and combinations (42)
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: April 10th 2008, 09:03 AM
  4. Combinations and permutations
    Posted in the Statistics Forum
    Replies: 2
    Last Post: March 18th 2008, 04:10 PM
  5. Combinations and permutations
    Posted in the Statistics Forum
    Replies: 2
    Last Post: March 18th 2008, 01:26 PM

Search Tags


/mathhelpforum @mathhelpforum