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Class 10MathematicsSetsPower Set and SubsetsEasyLevel 9

If |A| = 5, how many members of the power set P(A) remain after excluding both A and the empty set?

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Answer and explanation

Correct answer: 30

For a set A with 5 elements, the power set contains 2^5 = 32 subsets. Every power set contains A itself and the empty set ∅. Since these are two different subsets and both must be excluded, the number remaining is 32 - 2 = 30. Thus option B is correct.

Tags

setspower-setempty-setcardinalityPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

30

Why is this the correct answer?

For a set A with 5 elements, the power set contains 2^5 = 32 subsets. Every power set contains A itself and the empty set ∅. Since these are two different subsets and both must be excluded, the number remaining is 32 - 2 = 30. Thus option B 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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