यदि (n(A)=5) और (n(B)=3) हो तो (A) से (B) तक गैर रिक्त संबंधों की संख्या कितनी है?
If (n(A)=5) and (n(B)=3), how many non-empty relations are possible from (A) to (B)?
Explanation opens after your attempt
Correct Answer
B. \(2^{15}-1\)
Concept
Total relations are \(2^{5\times 3}=2^{15}\), and removing the empty relation gives \(2^{15}-1\). For non-empty relations, remember to subtract (1).
Why this answer is correct
The correct answer is B. \(2^{15}-1\). Total relations are \(2^{5\times 3}=2^{15}\), and removing the empty relation gives \(2^{15}-1\). For non-empty relations, remember to subtract (1).
Exam Tip
कुल संबंध \(2^{5\times 3}=2^{15}\) हैं और रिक्त संबंध हटाने पर \(2^{15}-1\) मिलते हैं। गैर रिक्त के लिए (1) घटाना न भूलें।
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