यदि \(A=\{1,2\}\) और \(B=\{x,y,z\}\) हैं, तो \(A\times B\) के सभी संबंधों की संख्या कितनी है?
If \(A=\{1,2\}\) and \(B=\{x,y,z\}\), how many relations from (A) to (B) are possible?
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Correct Answer
D. (64)
Concept
A relation is any subset of \(A\times B\), and \(|A\times B|=6\). Hence the number of relations is \(2^6=64\).
Why this answer is correct
The correct answer is D. (64). A relation is any subset of \(A\times B\), and \(|A\times B|=6\). Hence the number of relations is \(2^6=64\).
Exam Tip
संबंध \(A\times B\) का कोई भी उपसमुच्चय है और \(|A\times B|=6\)। इसलिए संबंधों की संख्या \(2^6=64\) है।
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