यदि \(A=\{1,2,3,4,5\}\) और \(B=\{1,2,3,4,5\}\), तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (a+b=6) है?
If \(A=\{1,2,3,4,5\}\) and \(B=\{1,2,3,4,5\}\), how many pairs ((a,b)) in \(A\times B\) satisfy (a+b=6)?
Explanation opens after your attempt
Correct Answer
B. (5)
Concept
The pairs are ((1,5),(2,4),(3,3),(4,2),(5,1)), so there are (5). Reversed pairs count separately in ordered pairs.
Why this answer is correct
The correct answer is B. (5). The pairs are ((1,5),(2,4),(3,3),(4,2),(5,1)), so there are (5). Reversed pairs count separately in ordered pairs.
Exam Tip
युग्म ((1,5),(2,4),(3,3),(4,2),(5,1)) हैं, इसलिए कुल (5) हैं। क्रमित युग्मों में उलटे युग्म अलग गिने जाते हैं।
Login to save your score, XP, coins and progress.