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Class 10MathematicsSetsPower Set and SubsetsMediumLevel 8

If A = {x : x ∈ N and x ≤ 3}, how many elements of P(A) are singleton sets?

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Answer and explanation

Correct answer: 3

Taking N to mean the positive natural numbers here, the condition x ≤ 3 gives A = {1,2,3}. Each element of A generates one singleton subset: {1}, {2}, and {3}. All three singleton subsets belong to P(A), the power set of A. Therefore P(A) has exactly 3 elements that are singleton sets, so option C is correct.

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setspower_setsingleton_setsnatural_numbersPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

3

Why is this the correct answer?

Taking N to mean the positive natural numbers here, the condition x ≤ 3 gives A = {1,2,3}. Each element of A generates one singleton subset: {1}, {2}, and {3}. All three singleton subsets belong to P(A), the power set of A. Therefore P(A) has exactly 3 elements that are singleton sets, so option C 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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