write the power set of a if a is= set 1,2,3
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For the set S = {1,2,3}
subsets with 0 elements: 0 (the empty set)
subsets with 1 element: {1}, {2}, {3}
subsets with 2 elements: {1,2}, {1,3}, {2,3}
subsets with 3 elements: S
Hence:
P(S) = {0, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, S
subsets with 0 elements: 0 (the empty set)
subsets with 1 element: {1}, {2}, {3}
subsets with 2 elements: {1,2}, {1,3}, {2,3}
subsets with 3 elements: S
Hence:
P(S) = {0, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, S
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