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If X, Y,and Z are positive integers, how many different ordered sets(X,Y,Z) are possible such that X+Y+Z=5 ?

A. 3 B. 4 C. 5 D. 6 E. 8

X,Y,Z >0

Lets start from X =1 1,1,3 1,2,2 1,3,1 2,1,2(repeat) 2,2,1(repeat) 3,1,1(repeat)

We are talking about ordered sets and I haven't come across this on my GMAT preparation, so I am not sure if we should remove the repeated sets or not. So answer is either 3 or 6 i.e A or D

I would go with D because ordered sets means that the order does matter.

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