यदि \(A=\{1,2,3\}\) और \(B=\{a,b\}\) हों, तो (A) से (B) में कुल संबंधों की संख्या कितनी है?
If \(A=\{1,2,3\}\) and \(B=\{a,b\}\), what is the total number of relations from (A) to (B)?
Explanation opens after your attempt
Correct Answer
A. \(2^6=64\)
Concept
\(A\times B\) has \(3\times 2=6\) elements, so the number of relations is \(2^6=64\). In exams, counting relations and functions is different.
Why this answer is correct
The correct answer is A. \(2^6=64\). \(A\times B\) has \(3\times 2=6\) elements, so the number of relations is \(2^6=64\). In exams, counting relations and functions is different.
Exam Tip
\(A\times B\) में \(3\times 2=6\) तत्व हैं इसलिए संबंधों की संख्या \(2^6=64\) है। परीक्षा में संबंध और फलन की गिनती अलग होती है।
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