If A = {1, 2, 3} and B = P(A), which element will not belong to B?
Answer and explanation
Correct answer: 4
The power set P(A) is the set of all subsets of A. Therefore it contains the empty set ∅, every one-element subset, every two-element subset such as {1, 2}, and A itself, {1, 2, 3}. The ordinary number 4 is not a subset of A and is not one of the listed elements of A. Hence 4 does not belong to P(A), so option D is correct.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The power set P(A) is the set of all subsets of A. Therefore it contains the empty set ∅, every one-element subset, every two-element subset such as {1, 2}, and A itself, {1, 2, 3}. The ordinary number 4 is not a subset of A and is not one of the listed elements of A. Hence 4 does not belong to P(A), so option D is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
