यदि \(A=\{x,y,z,w\}\), तो (\mathcal{P}(A)) में ऐसे कितने तत्व हैं जो ({x,z}) से असंयुक्त हैं?
If \(A=\{x,y,z,w\}\), how many elements of (\mathcal{P}(A)) are disjoint from ({x,z})?
Explanation opens after your attempt
Correct Answer
B. (4)
Concept
A disjoint subset cannot contain (x) or (z). Only (y,w) may be chosen, so there are \(2^2=4\).
Why this answer is correct
The correct answer is B. (4). A disjoint subset cannot contain (x) or (z). Only (y,w) may be chosen, so there are \(2^2=4\).
Exam Tip
असंयुक्त उपसमुच्चय में (x) और (z) नहीं आ सकते। केवल (y,w) चुने जा सकते हैं, इसलिए \(2^2=4\) हैं।
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