यदि \(A=\{1,2,3,4,5\}\) और \(B=\{1,2,3\}\), तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें \(a\le b\) है?
If \(A=\{1,2,3,4,5\}\) and \(B=\{1,2,3\}\), how many pairs ((a,b)) in \(A\times B\) satisfy \(a\le b\)?
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Correct Answer
B. (6)
Concept
For (b=1,2,3), the possible values of (a) are (1,2,3), totaling (6). Sometimes counting by the second component is easier.
Why this answer is correct
The correct answer is B. (6). For (b=1,2,3), the possible values of (a) are (1,2,3), totaling (6). Sometimes counting by the second component is easier.
Exam Tip
(b=1,2,3) के लिए (a) के क्रमशः (1,2,3) मान हैं, कुल (6)। कभी-कभी दूसरे अवयव से गिनना आसान होता है।
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