If A = {a, b}, which set is equal to P(A)?
Answer and explanation
Correct answer: {∅, {a}, {b}, {a, b}}
The power set P(A) contains every subset of A as an element. For A = {a, b}, the subsets are the empty set ∅, the singleton sets {a} and {b}, and the set A itself, {a, b}. Thus P(A) = {∅, {a}, {b}, {a, b}}, which is option A. Notice the difference between a and {a}: the first is an element, whereas the second is a singleton subset.
Frequently asked questions
What is the correct answer to this question?
{∅, {a}, {b}, {a, b}}
Why is this the correct answer?
The power set P(A) contains every subset of A as an element. For A = {a, b}, the subsets are the empty set ∅, the singleton sets {a} and {b}, and the set A itself, {a, b}. Thus P(A) = {∅, {a}, {b}, {a, b}}, which is option A. Notice the difference between a and {a}: the first is an element, whereas the second is a singleton subset.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
