Find the Power Set (3,4)

Problem

𝒫*({3,4})

Solution

1. Identify the set for which the power set is being found, which is S={3,4}

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 number of subsets: 2=4

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

5. Form the power set by grouping all identified subsets into a single set.

Final Answer

𝒫*({3,4})={∅,{3},{4},{3,4}}

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