यदि (A) में (m) अवयव और (B) में (n) अवयव हैं, तो (A) से (B) तक कुल कितने संबंध संभव हैं?
If (A) has (m) elements and (B) has (n) elements, how many relations are possible from (A) to (B)?
Explanation opens after your attempt
Correct Answer
A. \(2^{mn}\)
Concept
\(A\times B\) has (mn) ordered pairs. Each pair may be included or excluded, so there are \(2^{mn}\) possible relations.
Why this answer is correct
The correct answer is A. \(2^{mn}\). \(A\times B\) has (mn) ordered pairs. Each pair may be included or excluded, so there are \(2^{mn}\) possible relations.
Exam Tip
\(A\times B\) में (mn) ordered pairs होते हैं। प्रत्येक pair relation में हो या न हो, इसलिए कुल \(2^{mn}\) विकल्प हैं।
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