Question

Let A = {a, b}. Then, the power set of A is given by P(A) = ___.

• A. {{a},{b}}
• B. {{a}, {b}, {a, b} }
• C. {a, b}
• D. {{}, {a}, {b}, {a, b} }

Answer 1

The correct option is D {{}, {a}, {b}, {a, b} }

The set of all the subsets of a set is called the power set of the set.

Given the set {a, b}.
The subsets of this set are {}, {a}, {b} and {a, b}.
Thus, the powerset of the set are {{}, {a}, {b}, {a, b}}.