यदि \(A=\{a,b,c,d\}\), तो (P(A)) के उन अवयवों की संख्या क्या है जो खाली समुच्चय नहीं हैं?
If \(A=\{a,b,c,d\}\), what is the number of elements of (P(A)) that are not empty sets?
Explanation opens after your attempt
Correct Answer
A. (15)
Concept
Total subsets are \(2^4=16\) and one subset is empty, so there are (15) non-empty subsets. Subtract (1) for non-empty subsets.
Why this answer is correct
The correct answer is A. (15). Total subsets are \(2^4=16\) and one subset is empty, so there are (15) non-empty subsets. Subtract (1) for non-empty subsets.
Exam Tip
कुल उपसमुच्चय \(2^4=16\) हैं और खाली उपसमुच्चय (1) है, इसलिए (15) गैर-रिक्त उपसमुच्चय हैं। गैर-रिक्त के लिए (1) घटाएं।
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