यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{1,2,3,4,5,6\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (a+b) (3) से विभाज्य और \(a\ne b\) है?
If \(A=\{1,2,3,4,5,6\}\) and \(B=\{1,2,3,4,5,6\}\), how many pairs ((a,b)) in \(A\times B\) have (a+b) divisible by (3) and \(a\ne b\)?
Explanation opens after your attempt
Correct Answer
B. (10)
Concept
There are (12) pairs with sum divisible by (3), and equal pairs among them are ((3,3),(6,6)). Hence (12-2=10).
Why this answer is correct
The correct answer is B. (10). There are (12) pairs with sum divisible by (3), and equal pairs among them are ((3,3),(6,6)). Hence (12-2=10).
Exam Tip
(3) से विभाज्य योग वाले (12) युग्म हैं और उनमें ((3,3),(6,6)) बराबर युग्म हैं। इसलिए (12-2=10)।
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