If A = {1, 2, 3}, which of the following is an element of P(A)?
Answer and explanation
Correct answer: {1, 2}
The power set P(A) is the set of all subsets of A, including the empty set, singletons, pairs, and A itself. The set {1, 2} contains only elements of A, so it is a subset of A and therefore an element of P(A). Although 1 is an element of A, it is not itself a subset in this context. Sets containing 4 are not subsets of A, so options C and D are wrong.
Frequently asked questions
What is the correct answer to this question?
{1, 2}
Why is this the correct answer?
The power set P(A) is the set of all subsets of A, including the empty set, singletons, pairs, and A itself. The set {1, 2} contains only elements of A, so it is a subset of A and therefore an element of P(A). Although 1 is an element of A, it is not itself a subset in this context. Sets containing 4 are not subsets of A, so options C and D are wrong.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
