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Class 10MathematicsSetsPower Set and SubsetsMediumLevel 10

If A = {0, {1}, 2}, which of the following is not an element of P(A)?

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Answer and explanation

Correct answer: {0, 1}

A power-set element must be a subset of A. The elements of A are 0, {1}, and 2; importantly, 1 itself is not an element of A. Options A, B, and C use only members of A and are therefore subsets. Option D contains 1 instead of the element {1}, so {0,1} is not a subset of A and is not in P(A).

Tags

setspower setnested setssubsetMathematicsPower Set and SubsetsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{0, 1}

Why is this the correct answer?

A power-set element must be a subset of A. The elements of A are 0, {1}, and 2; importantly, 1 itself is not an element of A. Options A, B, and C use only members of A and are therefore subsets. Option D contains 1 instead of the element {1}, so {0,1} is not a subset of A and is not in P(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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