\(यदि (A={1,2,3,4}), (B={1,2,3,4}) और (R={(a,b):a+b\) is odd}) है, तो (R) के उपसमुच्चयों की संख्या क्या है?
\(If (A={1,2,3,4}), (B={1,2,3,4}), and (R={(a,b):a+b\) is odd}), what is the number of subsets of (R)?
Explanation opens after your attempt
Correct Answer
B. (256)
Concept
There are (8) pairs with odd sum, so subsets of (R) are \(2^8=256\). First find the cardinality of the relation.
Why this answer is correct
The correct answer is B. (256). There are (8) pairs with odd sum, so subsets of (R) are \(2^8=256\). First find the cardinality of the relation.
Exam Tip
विषम योग वाले युग्म (8) हैं, इसलिए (R) के उपसमुच्चय \(2^8=256\) हैं। पहले संबंध की कार्डिनलिटी निकालें।
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