Find the Power Set (1,4)

Problem

𝒫*({1,4})

Solution

1. Identify the elements of the given set S={1,4}

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 total number of subsets, which is 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*({1,4})={∅,{1},{4},{1,4}}

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