Find the Power Set (1,3)

Problem

𝒫*({1,3})

Solution

1. Identify the elements of the given set S={1,3} The set contains n=2 elements.

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

3. List all possible subsets by including the empty set, sets with one element, and the set itself.

4. Construct the power set 𝒫*(S) by grouping all identified subsets into a single set.

Final Answer

𝒫*({1,3})={∅,{1},{3},{1,3}}

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