Find the Power Set (0,2)

Problem

𝒫*({0,2})

Solution

1. Identify the elements of the given set. The set is S={0,2} which contains n=2 elements.

2. Determine the number of subsets in the power set. The number of subsets is given by 2 so there are 2=4 subsets.

3. List all possible subsets of S starting with the empty set and then sets containing one element and two elements.

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

Final Answer

𝒫*({0,2})={∅,{0},{2},{0,2}}

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