यदि \(A=\{1,2,3,4\}\), \(B=\{1,2,3,4,5\}\) और \(R=\{(a,b):a+b\ge6\}\) है, तो (R) के पूरक में \(A\times B\) के सापेक्ष कितने युग्म होंगे?
If \(A=\{1,2,3,4\}\), \(B=\{1,2,3,4,5\}\), and \(R=\{(a,b):a+b\ge6\}\), how many pairs are in the complement of (R) relative to \(A\times B\)?
Explanation opens after your attempt
Correct Answer
C. (10)
Concept
The complement has pairs with (a+b<6), whose row counts are (4,3,2,1). Hence there are (10) pairs.
Why this answer is correct
The correct answer is C. (10). The complement has pairs with (a+b<6), whose row counts are (4,3,2,1). Hence there are (10) pairs.
Exam Tip
पूरक में (a+b<6) वाले युग्म होंगे, जिनकी पंक्ति-गिनती (4,3,2,1) है। इसलिए कुल (10) युग्म हैं।
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