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If the set has n elements, the number of subsets (the power set) has 2n members.
512 subsets
If a set has "n" elements, then it will have 2n subsets. This number of subsets is always larger than the number of elements - whether the set is finite or infinite.
The number of subjects will depend on what the elements of the set are. The number of subsets is 2a.
If the universal set, U, has N elements then it has 2N subsets.