यदि \(A=\{1,2,3\}\) और \(B=\{1,2,3,4\}\), तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें \(ab\le6\) है?
If \(A=\{1,2,3\}\) and \(B=\{1,2,3,4\}\), how many pairs ((a,b)) in \(A\times B\) satisfy \(ab\le6\)?
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Correct Answer
C. (10)
Concept
For (a=1,2,3), the possible values of (b) are (4,3,3), totaling (10). In product conditions, the limit changes for each (a).
Why this answer is correct
The correct answer is C. (10). For (a=1,2,3), the possible values of (b) are (4,3,3), totaling (10). In product conditions, the limit changes for each (a).
Exam Tip
(a=1,2,3) के लिए (b) के क्रमशः (4,3,3) मान मिलते हैं, कुल (10)। गुणन वाली शर्त में प्रत्येक (a) पर सीमा बदलती है।
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