Problem

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

Answer

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Answer

Therefore, the power set of A is P(A)={{},{1},{2},{3},{1,2},{1,3},{2,3},{1,2,3}}.

Steps

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}}.

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