If A = {a, b, {c}}, which of the following is an element of P(A)?
Answer and explanation
Correct answer: {a, {c}}
An element of P(A) must be a subset of A. The elements of A are a, b, and the set {c}; importantly, c itself is not an element of A. Option B, {a, {c}}, uses two actual elements of A and is therefore a subset of A. Option A contains c rather than {c}, option C is not a subset, and option D also contains c directly, so B is the only correct answer.
Frequently asked questions
What is the correct answer to this question?
{a, {c}}
Why is this the correct answer?
An element of P(A) must be a subset of A. The elements of A are a, b, and the set {c}; importantly, c itself is not an element of A. Option B, {a, {c}}, uses two actual elements of A and is therefore a subset of A. Option A contains c rather than {c}, option C is not a subset, and option D also contains c directly, so B is the only correct answer.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
