यदि \(A=\{1,2,3\}\) और \(B=\{1,2,3\}\) हैं, तो \(A\times B\) में कितने युग्म ((x,y)) ऐसे हैं कि \(x\le y\)?
If \(A=\{1,2,3\}\) and \(B=\{1,2,3\}\), how many pairs ((x,y)) in \(A\times B\) satisfy \(x\le y\)?
Explanation opens after your attempt
Correct Answer
A. (6)
Concept
The valid pairs are ((1,1),(1,2),(1,3),(2,2),(2,3),(3,3)). Include equal pairs when the condition is \(\le\).
Why this answer is correct
The correct answer is A. (6). The valid pairs are ((1,1),(1,2),(1,3),(2,2),(2,3),(3,3)). Include equal pairs when the condition is \(\le\).
Exam Tip
सही युग्म ((1,1),(1,2),(1,3),(2,2),(2,3),(3,3)) हैं। \(\le\) में बराबरी वाले युग्म भी शामिल करें।
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