यदि \(A=\{a,b,c,d,e\}\), तो (\mathcal{P}(A)) में ऐसे कितने उपसमुच्चय हैं जिनमें (a) और (b) दोनों हैं?
If \(A=\{a,b,c,d,e\}\), how many subsets in (\mathcal{P}(A)) contain both (a) and (b)?
Explanation opens after your attempt
A. (8)
Concept
(a) and (b) are fixed, and the remaining (3) elements are free. Therefore there are \(2^3=8\) subsets.
Why this answer is correct
The correct answer is A. (8). (a) and (b) are fixed, and the remaining (3) elements are free. Therefore there are \(2^3=8\) subsets.
Exam Tip
(a) और (b) निश्चित हैं, बाकी (3) तत्व स्वतंत्र हैं। इसलिए \(2^3=8\) उपसमुच्चय होंगे।
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