Find the Power Set (1,2)

Problem

𝒫*({1,2})

Solution

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

2. Determine the number of elements in the power set using the formula 2 where n is the number of elements in the set.

3. Calculate the total number of subsets: 2=4

4. List all possible subsets of S starting with the empty set ∅ then all sets containing one element, and finally the set itself.

5. Combine these subsets into a single set to form the power set.

Final Answer

𝒫*({1,2})={∅,{1},{2},{1,2}}

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