Final answer:
The power set of the set {0, 1, 2} includes all possible subsets, which are the empty set, all single element, all two-element subsets, and the set itself; hence the correct answer is choice b).
Step-by-step explanation:
The power set of a given set is the set of all possible subsets of that set, including the empty set and the set itself. Considering the set {0, 1, 2}, the power set would include:
The empty set: {}
Single element subsets: {0}, {1}, {2}
Two-element subsets: {0, 1}, {0, 2}, {1, 2}
The entire set: {0, 1, 2}
Combining all these subsets, the power set of {0, 1, 2} is {{}, {0}, {1}, {2}, {0, 1}, {0, 2}, {1, 2}, {0, 1, 2}}, which corresponds to choice b) in the question provided.