यदि \(A=\{1,2,3,4\}\), \(B=\{1,2,3,4\}\) और \(U=A\times B\) है, तो (U) में कितने युग्म (a<b) या (a+b=5) को संतुष्ट करते हैं?
If \(A=\{1,2,3,4\}\), \(B=\{1,2,3,4\}\), and \(U=A\times B\), how many pairs in (U) satisfy (a<b) or (a+b=5)?
Explanation opens after your attempt
Correct Answer
A. (8)
Concept
There are (6) pairs with (a<b) and (4) with (a+b=5), with (2) common. Thus (6+4-2=8).
Why this answer is correct
The correct answer is A. (8). There are (6) pairs with (a<b) and (4) with (a+b=5), with (2) common. Thus (6+4-2=8).
Exam Tip
(a<b) वाले (6) और (a+b=5) वाले (4) युग्म हैं, साझा (2) हैं। इसलिए (6+4-2=8)।
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