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Find the power set of the set {a, b}.

a) {a, b}
b) {{a}, {b}}
c) {∅, {a}, {b}, {a, b}}
d) {{a, b}}

1 Answer

3 votes

Final answer:

The power set of the set {a, b} is {∅, {a}, {b}, {a, b}}. The correct answer is option c. {∅, {a}, {b}, {a, b}}

Step-by-step explanation:


In mathematics, a power set is the set of all subsets of a given set, including the empty set and the set itself. It represents all possible combinations of elements.

The power set of a set is the set of all possible subsets of that set, including the empty set and the set itself. To find the power set of the set {a, b}, we need to list all possible subsets. In this case, there are four subsets: ∅ (the empty set), {a}, {b}, and {a, b}. So the power set of {a, b} is {∅, {a}, {b}, {a, b}}.

Thus, te correct answer is option (C). {∅, {a}, {b}, {a, b}}

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