probability question

[ard14]

can anyone explain this to me?
thanks,

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)

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[714guy]

can anyone explain this to me?
thanks,

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)

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
collection.

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.