यदि \(A=\{1,2,3,4\}\) और \(B=\{1,2,3,4\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (|a-b|=2) है?
If \(A=\{1,2,3,4\}\) and \(B=\{1,2,3,4\}\), how many pairs ((a,b)) in \(A\times B\) satisfy (|a-b|=2)?
Explanation opens after your attempt
Correct Answer
C. (,4,)
Concept
The condition (|a-b|=2) gives the pairs ((1,3),(2,4),(3,1),(4,2)). In ordered pairs, reversed pairs are counted separately.
Why this answer is correct
The correct answer is C. (,4,). The condition (|a-b|=2) gives the pairs ((1,3),(2,4),(3,1),(4,2)). In ordered pairs, reversed pairs are counted separately.
Exam Tip
शर्त (|a-b|=2) से युग्म ((1,3),(2,4),(3,1),(4,2)) मिलते हैं। क्रमित युग्मों में उलटे युग्म अलग गिने जाते हैं।
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