If A = {0, {0}}, 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) consists of all subsets of A. The set A has two elements: the number 0 and the set {0}. The set {0} contains only the element 0, which belongs to A, so {0} is a subset of A and therefore an element of P(A). In contrast, 0 is an element of A but is not itself a subset of A.
Frequently asked questions
What is the correct answer to this question?
{0}
Why is this the correct answer?
The power set P(A) consists of all subsets of A. The set A has two elements: the number 0 and the set {0}. The set {0} contains only the element 0, which belongs to A, so {0} is a subset of A and therefore an element of P(A). In contrast, 0 is an element of A but is not itself a subset of A.
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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