Find the Power Set {1,2}

Problem

𝒫*({1,2})

Solution

1. Identify the elements of the given set S={1,2} The set contains n=2 elements.

2. Determine the number of subsets using the formula 2 Since n=2 there are 2=4 subsets.

3. List all possible subsets of S including the empty set ∅ and the set itself.

4. Construct the power set by grouping all identified subsets into a single set.

Final Answer

𝒫*({1,2})={∅,{1},{2},{1,2}}

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