यदि \(A=\{x,y,z\}\) है तो (\mathcal{P}(A)) में (x) को रखने वाले उपसमुच्चयों की संख्या कितनी है?
If \(A=\{x,y,z\}\), how many subsets in (\mathcal{P}(A)) contain (x)?
Explanation opens after your attempt
C. (4)
Concept
Fix (x) and each of (y,z) has two choices. Therefore the number is \(2^2=4\).
Why this answer is correct
The correct answer is C. (4). Fix (x) and each of (y,z) has two choices. Therefore the number is \(2^2=4\).
Exam Tip
(x) को स्थिर रखें और (y,z) के लिए दो दो विकल्प होंगे। इसलिए संख्या \(2^2=4\) है।
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