If A = {a, {b}, c}, which of the following is not an element of P(A)?
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Answer and explanation
Correct answer: {a, b}
An element of P(A) must be a subset of A, so every member of that element must itself be one of a, {b}, or c. The sets {a,c}, {{b}}, and {a,{b}} satisfy this condition. However, {a,b} contains b, and b is not an element of A; only {b} is an element of A. Therefore {a,b} is not in P(A), making option D correct.
Frequently asked questions
What is the correct answer to this question?
{a, b}
Why is this the correct answer?
An element of P(A) must be a subset of A, so every member of that element must itself be one of a, {b}, or c. The sets {a,c}, {{b}}, and {a,{b}} satisfy this condition. However, {a,b} contains b, and b is not an element of A; only {b} is an element of A. Therefore {a,b} is not in P(A), making option D 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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