यदि \(A=\{0,1,2,3\}\) और \(B=\{0,1,2,3,4\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (a+b<5) है?
If \(A=\{0,1,2,3\}\) and \(B=\{0,1,2,3,4\}\), how many pairs ((a,b)) in \(A\times B\) satisfy (a+b<5)?
Explanation opens after your attempt
Correct Answer
A. (14)
Concept
For (a=0,1,2,3), the counts of (b) are (5,4,3,2), totaling (14). In a strict inequality, the boundary is not included.
Why this answer is correct
The correct answer is A. (14). For (a=0,1,2,3), the counts of (b) are (5,4,3,2), totaling (14). In a strict inequality, the boundary is not included.
Exam Tip
(a=0,1,2,3) के लिए (b) के (5,4,3,2) मान मिलते हैं, कुल (14)। कठोर असमानता में सीमा बराबर नहीं गिनी जाती।
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