Cube Net
Use the Thesaurus if you don't know how to find the subsets of a given set.
In counting the tours remember that you can start from any vertex. From the start there are 3 possible ways to go and at the next vertex two ways to go.
Can you label the vertices of a cube with the subsets of the given set so that an edge connects two vertices if it is possible to move from one subset to another in the sequence?
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