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If a set has N elements then it has 2N subsets. So you can see that a list of all subsets soon becomes a very big task.

For reasonably small values of N, one way to generate all subsets is to list the binary numbers from 0 to 2N. Then, each of these represents a subset of the original set. If the nth digit is 0 then the nth element is not in the set and if the nth digit is 1 then the nth element is in the set. That will generate all the subsets.

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Q: How do you determine the list of all the subsets of sets?
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