यदि \(A=\{1,2,3\}\) और \(B=\{a,b,c,d\}\) हों, तो (A) से (B) में कुल संबंधों की संख्या कितनी है?
If \(A=\{1,2,3\}\) and \(B=\{a,b,c,d\}\), how many relations are there from (A) to (B)?
Explanation opens after your attempt
Correct Answer
A. \(2^{12}=4096\)
Concept
\(A\times B\) has \(3\times 4=12\) pairs, so relations are \(2^{12}=4096\). In exams, relations are counted as subsets.
Why this answer is correct
The correct answer is A. \(2^{12}=4096\). \(A\times B\) has \(3\times 4=12\) pairs, so relations are \(2^{12}=4096\). In exams, relations are counted as subsets.
Exam Tip
\(A\times B\) में \(3\times 4=12\) युग्म हैं इसलिए संबंध \(2^{12}=4096\) होंगे। परीक्षा में संबंध उपसमुच्चयों से गिने जाते हैं।
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