यदि \(A=\{1,2,3,4,5\}\), तो (\mathcal{P}(A)) में ऐसे कितने उपसमुच्चय हैं जिनमें (1) है या (5) नहीं है?
If \(A=\{1,2,3,4,5\}\), how many subsets in (\mathcal{P}(A)) contain (1) or do not contain (5)?
Explanation opens after your attempt
Correct Answer
A. (24)
Concept
The opposite condition is not containing (1) and containing (5), which gives \(2^3=8\) subsets. Subtracting from (32) gives (24).
Why this answer is correct
The correct answer is A. (24). The opposite condition is not containing (1) and containing (5), which gives \(2^3=8\) subsets. Subtracting from (32) gives (24).
Exam Tip
पूरक स्थिति है कि (1) नहीं है और (5) है, जिसके \(2^3=8\) उपसमुच्चय हैं। कुल (32) में से (8) घटाने पर (24) मिलते हैं।
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