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probability question

Discussion in 'DAT Discussions' started by ard14, Jul 22, 2006.

  1. ard14

    ard14 Junior Member
    2+ Year Member

    Jun 1, 2006
    Likes Received:
    can anyone explain this to me?

    How many different ways can a data set consisting of 6, 0, 0, 1, 0,1 be arranged?

    (the answer is 60 according to dat achiever)
  2. 714guy

    714guy counting down till 5/2012
    7+ Year Member

    Feb 26, 2004
    Likes Received:
    Dental Student
    This is how you solve it. k = N/R. K is number of ways, N is the total number of objects in the collection. R is the total of each unique objects in the

    N = 6

    R = Object "0" = 3, Object "1" = 2, Object "6" = 1.

    K = 6!/(3!*2!*1!) : You can get rid 1! b/c thats just one

    K = 6*5*4*3!/3!*2! --> you can get rid of 3! since that cancels out

    K = 120 / 2 = 60 ways.
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