Find the power set of the set ( A = {1, 2, 3} )

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Accepted Answer

Step:1 ：The power set of a set is the set of all possible subsets of the set. So, we first list out all possible subsets of ( A ).Step:2 ：The possible subsets are: ( {} ) (the empty set), ( {1} ), ( {2} ), ( {3} ), ( {1, 2} ), ( {1, 3} ), ( {2, 3} ), and ( {1, 2, 3} ).Step:3 ：Therefore, the power set of ( A ) is ( P(A) = {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}} ).

Answer

Step: 1 ：The power set of a set is the set of all possible subsets of the set. So, we first list out all possible subsets of ( A ).Step: 2 ：The possible subsets are: ( {} ) (the empty set), ( {1} ), ( {2} ), ( {3} ), ( {1, 2} ), ( {1, 3} ), ( {2, 3} ), and ( {1, 2, 3} ).Step: 3 ：Therefore, the power set of ( A ) is ( P(A) = {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}} ).

Find the power set of the set \( A = \{1, 2, 3\} \)

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