यदि \(A=\{a,b,c,d\}\), तो (\mathcal{P}(A)) के कितने तत्व ( {a,d}) से असंयुक्त नहीं हैं?
If \(A=\{a,b,c,d\}\), how many elements of (\mathcal{P}(A)) are not disjoint from ({a,d})?
Explanation opens after your attempt
Correct Answer
C. (12)
Concept
Subsets disjoint from ({a,d}) are formed only from (b,c), so there are \(2^2=4\). Hence not disjoint subsets are (16-4=12).
Why this answer is correct
The correct answer is C. (12). Subsets disjoint from ({a,d}) are formed only from (b,c), so there are \(2^2=4\). Hence not disjoint subsets are (16-4=12).
Exam Tip
({a,d}) से असंयुक्त उपसमुच्चय केवल (b,c) से बनेंगे, जो \(2^2=4\) हैं। इसलिए असंयुक्त नहीं होने वाले (16-4=12) हैं।
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