If A = {{1}, {2}}, which of the following is an element of P(A)?
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Answer and explanation
Correct answer: {{1}}
The power set P(A) consists of all subsets of A. Since A has the two elements {1} and {2}, its subsets are ∅, {{1}}, {{2}}, and {{1}, {2}}. Therefore {{1}} is an element of P(A). Notice that {1} is an element of A, not a subset of A, and 1 is neither an element of A nor a subset of A.
Frequently asked questions
What is the correct answer to this question?
{{1}}
Why is this the correct answer?
The power set P(A) consists of all subsets of A. Since A has the two elements {1} and {2}, its subsets are ∅, {{1}}, {{2}}, and {{1}, {2}}. Therefore {{1}} is an element of P(A). Notice that {1} is an element of A, not a subset of A, and 1 is neither an element of A nor 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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