What are examples of a power of a set?

The power set of a set is the collection of all its possible subsets, including the empty set and the set itself. For example, if the original set is ( S = { a, b } ), the power set ( P(S) ) would be ( { \emptyset, { a }, { b }, { a, b } } ). If the set is ( T = { 1, 2, 3 } ), then the power set ( P(T) ) would include ( { \emptyset, { 1 }, { 2 }, { 3 }, { 1, 2 }, { 1, 3 }, { 2, 3 }, { 1, 2, 3 } } ).