DistinguishableSetDiv1

{"AA","AB","CC"}
Returns: 2

There are 4 subsets of questions: {}, {0}, {1}, and {0,1}. Let's look at each of them separately. For the empty subset {} each person gave the same sequence of answers (an empty sequence). For the subset {0} the answers given by the three people were "A", "A", and "C". Note that two of the people gave the same response. For the subset {1} the answers given by the three people were "A", "B", and "C". Note that all three responses are distinct. For the subset {0,1} the answers given by the three people were "AA", "AB", and "CC". Again, note that all three responses are distinct. Thus, there are 2 distinguishable sets: {1} and {0,1}.

{"XYZ","XYZ","XYZ"}
Returns: 0

Each person gave exactly the same sequence of answers. Thus, no subset of questions is a distinguishable set. The correct return value in such a case is 0.

{"AAAA","BACA","CDCE"}
Returns: 11

Among the 16 possible subsets of these questions there are 11 distinguishable sets. The five subsets of questions that are not distinguishable sets are {}, {1}, {2}, {3}, and {1,3}.

{"XYZ","XAB","YAC"}
Returns: 5

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Returns: 1043070