यदि \(A=\{1,2\}\) और \(B=\{a,b,c\}\) हों, तो (A) से (B) में कुल संबंधों की संख्या कितनी है?
If \(A=\{1,2\}\) and \(B=\{a,b,c\}\), how many relations are there from (A) to (B)?
Explanation opens after your attempt
A. \(2^6=64\)
Concept
\(A\times B\) has \(2\times 3=6\) pairs, so the number of relations is \(2^6=64\). In exams, relations are counted as subsets.
Why this answer is correct
The correct answer is A. \(2^6=64\). \(A\times B\) has \(2\times 3=6\) pairs, so the number of relations is \(2^6=64\). In exams, relations are counted as subsets.
Exam Tip
\(A\times B\) में \(2\times 3=6\) युग्म हैं, इसलिए संबंधों की संख्या \(2^6=64\) है। परीक्षा में संबंध की गिनती उपसमुच्चयों से होती है।
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