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Need a easy way to write out sample space. The question is really simply and I have the answer but I was hoping someone could explain a easy way to...

Need a easy way to write out sample space.


The question is really simply and I have the answer but I was hoping someone could explain a easy way to do it this in the future.


Question:A family consisting of three persons—A, B, and C—belongs to a medical clinic that always has a doctor at each of stations 1, 2, and 3. During a certain week, each member of the family visits the clinic once and is assigned at random to a station. The experiment consists of recording the station number for each member. One outcome is (1, 2, 1) for A to station 1, B to station 2, and C to station 1


So I know there will 27 things in the sample space but I struggling to just writing out all 27 way is there a easy way to write out the sample space?

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