यदि \(A=\{1,2,3,4\}\), \(B=\{2,3,4,5,6\}\) और \(R=\{(a,b):b\ge a+2\}\) है, तो \(R\subseteq A\times B\) में कितने अवयव हैं?
If \(A=\{1,2,3,4\}\), \(B=\{2,3,4,5,6\}\), and \(R=\{(a,b):b\ge a+2\}\), how many elements are in \(R\subseteq A\times B\)?
Explanation opens after your attempt
Correct Answer
C. (10)
Concept
For (a=1,2,3,4), the counts of (b) are (4,3,2,1), so there are (10) pairs. In inequalities, check the boundary for each first component.
Why this answer is correct
The correct answer is C. (10). For (a=1,2,3,4), the counts of (b) are (4,3,2,1), so there are (10) pairs. In inequalities, check the boundary for each first component.
Exam Tip
(a=1,2,3,4) के लिए (b) के क्रमशः (4,3,2,1) मान मिलते हैं, इसलिए कुल (10) युग्म हैं। असमानता में हर पहले अवयव पर सीमा अलग जाँचें।
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