यदि \(A=\{1,2\}\) और \(B=\{3,4,5\}\) हैं, तो (A) से (B) में कुल कितने संबंध संभव हैं?
If \(A=\{1,2\}\) and \(B=\{3,4,5\}\), how many relations are possible from (A) to (B)?
Explanation opens after your attempt
B. \(2^6\)
Concept
Here \(|A\times B|=2\cdot3=6\), so the number of relations is \(2^6\). Every subset forms a relation.
Why this answer is correct
The correct answer is B. \(2^6\). Here \(|A\times B|=2\cdot3=6\), so the number of relations is \(2^6\). Every subset forms a relation.
Exam Tip
\(|A\times B|=2\cdot3=6\), इसलिए संबंधों की संख्या \(2^6\) है। हर उपसमुच्चय एक संबंध बनाता है।
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