If A = {0, 1}, which of the following is an element of P(A)?
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Answer and explanation
Correct answer: {0}
The power set P(A) is the set of all subsets of A. Since A = {0, 1}, its power set is P(A) = {∅, {0}, {1}, {0, 1}}. Therefore {0} is an element of P(A). The number 2 is not an element of A, so {2} and {0, 2} are not subsets of A; the standalone number 2 is not a subset either. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
{0}
Why is this the correct answer?
The power set P(A) is the set of all subsets of A. Since A = {0, 1}, its power set is P(A) = {∅, {0}, {1}, {0, 1}}. Therefore {0} is an element of P(A). The number 2 is not an element of A, so {2} and {0, 2} are not subsets of A; the standalone number 2 is not a subset either. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
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