If A = {1, 2, 3}, which of the following is a subset of the power set P(A)?
Answer and explanation
Correct answer: {∅, {1}, {2, 3}}
The power set P(A) contains every subset of A as an element. Since A = {1, 2, 3}, its elements include ∅, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, and A itself. In option A, ∅, {1}, and {2,3} are all subsets of A, so the whole set in option A is a subset of P(A). The other options contain 1 or 4 directly, whereas those are not necessarily elements of P(A) in the required form; 4 is not even an element of A.
Frequently asked questions
What is the correct answer to this question?
{∅, {1}, {2, 3}}
Why is this the correct answer?
The power set P(A) contains every subset of A as an element. Since A = {1, 2, 3}, its elements include ∅, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, and A itself. In option A, ∅, {1}, and {2,3} are all subsets of A, so the whole set in option A is a subset of P(A). The other options contain 1 or 4 directly, whereas those are not necessarily elements of P(A) in the required form; 4 is not even an element of A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
