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
B. (255)
Concept
(\mathcal{P}(A)) has \(2^3=8\) elements. Its proper subsets are \(2^8-1=255\).
Why this answer is correct
The correct answer is B. (255). (\mathcal{P}(A)) has \(2^3=8\) elements. Its proper subsets are \(2^8-1=255\).
Exam Tip
(\mathcal{P}(A)) में \(2^3=8\) सदस्य हैं। इसके उचित उपसमुच्चय \(2^8-1=255\) होंगे।
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