यदि \(U=\{a,b,c,d\}\), तो (\mathcal{P}(U)) में ऐसे कितने तत्व हैं जिनका पूरक भी एक-तत्वीय है?
If \(U=\{a,b,c,d\}\), how many elements of (\mathcal{P}(U)) have a singleton complement?
Explanation opens after your attempt
Correct Answer
A. (4)
Concept
For the complement to be singleton, the original subset must have (3) elements. There are \(\binom{4}{3}=4\) such subsets.
Why this answer is correct
The correct answer is A. (4). For the complement to be singleton, the original subset must have (3) elements. There are \(\binom{4}{3}=4\) such subsets.
Exam Tip
पूरक एक-तत्वीय होने के लिए मूल उपसमुच्चय में (3) तत्व होने चाहिए। ऐसे उपसमुच्चय \(\binom{4}{3}=4\) हैं।
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