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Determining subsets of a given set

If S = \{ 1,2,3,4 \} determine all subsets of S.


The subsets of S are: \varnothing, \{ 1 \}, \{ 2 \}, \{ 3 \}, \{ 4 \}, \{1,2 \}, \{1,3\}, \{1,4 \}, \{2,3 \}, \{ 2,4 \}, \{ 3,4 \}, \{1,2,3 \}, \{ 1,2,4 \}, \{ 1,3,4 \}, \{ 2,3,4 \}, \{1,2,3,4\}. We see that, indeed, there are 16 of them.

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