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Class 10MathematicsSetsPower Set and SubsetsEasyLevel 10

If A = {a, b, c, d}, what is the number of elements of P(A) that are not empty sets?

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Answer and explanation

Correct answer: 15

A has four elements, so its power set contains 2⁴ = 16 subsets in total. Exactly one of these subsets is the empty set, ∅. The question asks for subsets that are not empty, so remove that one subset: 16 − 1 = 15. Therefore P(A) has 15 non-empty elements, and option A is correct.

Tags

setspower setempty setnon-empty subsetsPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

15

Why is this the correct answer?

A has four elements, so its power set contains 2⁴ = 16 subsets in total. Exactly one of these subsets is the empty set, ∅. The question asks for subsets that are not empty, so remove that one subset: 16 − 1 = 15. Therefore P(A) has 15 non-empty elements, and option A 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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