यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{1,2,3,4\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें \(a+b\le7\) है?
If \(A=\{1,2,3,4,5,6\}\) and \(B=\{1,2,3,4\}\), how many pairs ((a,b)) in \(A\times B\) satisfy \(a+b\le7\)?
Explanation opens after your attempt
A. (18)
Concept
For (a=1,2,3,4,5,6), the counts of (b) are (4,4,4,3,2,1), totaling (18). Include equality in \(\le\).
Why this answer is correct
The correct answer is A. (18). For (a=1,2,3,4,5,6), the counts of (b) are (4,4,4,3,2,1), totaling (18). Include equality in \(\le\).
Exam Tip
(a=1,2,3,4,5,6) के लिए (b) के (4,4,4,3,2,1) मान मिलते हैं, कुल (18)। \(\le\) में बराबरी भी गिनें।
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