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There are infinitely many possible subsets.For example,

{}, {1}, {2}, {1, 2}, {3}, {1,3}, {2, 3}, {1,2,3} and so on. With n elements, you will have 2^n subsets. There are infinitely many positive integers, an equal number of negative integers, rational numbers, and a higher order of infinitely many Irrational Numbers in the set of Real numbers. So enumerating or even classifying the subsets is an infinitely huge task!


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