यदि \(A=\{2,3,4,5\}\) और \(B=\{1,2,3,4,5\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (b-a) सम है?
If \(A=\{2,3,4,5\}\) and \(B=\{1,2,3,4,5\}\), how many pairs ((a,b)) in \(A\times B\) have (b-a) even?
Explanation opens after your attempt
Step 1
Concept
The difference is even when both have the same parity. The count is \(2\cdot2+2\cdot3=10\).
Step 2
Why this answer is correct
The correct answer is C. (10). The difference is even when both have the same parity. The count is \(2\cdot2+2\cdot3=10\).
Step 3
Exam Tip
अंतर सम तब होता है जब दोनों की समता समान हो। गिनती \(2\cdot2+2\cdot3=10\) है।
Login to save your score, XP, coins and progress.
यदि \(A=\{1,2,3\}\) और \(B=\{2,3,4,5\}\), तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (b-a) सम है?
If \(A=\{1,2,3\}\) and \(B=\{2,3,4,5\}\), how many pairs ((a,b)) in \(A\times B\) have (b-a) even?
Explanation opens after your attempt
Step 1
Concept
(b-a) is even when (a) and (b) have the same parity. The count is \(2\cdot2+1\cdot2=6\).
Step 2
Why this answer is correct
The correct answer is B. (6). (b-a) is even when (a) and (b) have the same parity. The count is \(2\cdot2+1\cdot2=6\).
Step 3
Exam Tip
(b-a) सम तब है जब (a) और (b) की समता समान हो। गिनती \(2\cdot2+1\cdot2=6\) है।
Login to save your score, XP, coins and progress.
