Find the Power Set (4,2)

Problem

Power Set*({4,2})

Solution

1. Identify the set for which the power set is being found. The notation (4,2) in this context refers to the set S={4,2}

2. Determine the number of elements in the set. Since S has n=2 elements, the power set will contain 2=2=4 elements.

3. List all possible subsets of S starting with the empty set and then subsets of increasing size.

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

Final Answer

Power Set*({4,2})={∅,{4},{2},{4,2}}

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