Expert Mathematics Sets Class 11 Level 8

यदि (A) में (3) सदस्य हैं, तो (\mathcal{P}(A)) के उचित उपसमुच्चयों की संख्या कितनी है?

If (A) has (3) elements, how many proper subsets does (\mathcal{P}(A)) have?

Explanation opens after your attempt
Correct Answer

B. (255)

Step 1

Concept

(\mathcal{P}(A)) has \(2^3=8\) elements. Its proper subsets are \(2^8-1=255\).

Step 2

Why this answer is correct

The correct answer is B. (255). (\mathcal{P}(A)) has \(2^3=8\) elements. Its proper subsets are \(2^8-1=255\).

Step 3

Exam Tip

(\mathcal{P}(A)) में \(2^3=8\) सदस्य हैं। इसके उचित उपसमुच्चय \(2^8-1=255\) होंगे।

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What is the correct answer to this Mathematics MCQ?

The correct answer is B. (255).

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