यदि \(A=\{1,2,3,4,5\}\), \(B=\{1,2,3,4,5\}\) और \(T=\{(a,b):|a-b|\le2\}\) है, तो (|T|) क्या है?

If \(A=\{1,2,3,4,5\}\), \(B=\{1,2,3,4,5\}\), and \(T=\{(a,b):|a-b|\le2\}\), what is (|T|)?

Explanation opens after your attempt
Correct Answer

B. (19)

Step 1

Concept

Among (25) total pairs, (6) pairs have (|a-b|>2), so (25-6=19). Complement counting is quicker.

Step 2

Why this answer is correct

The correct answer is B. (19). Among (25) total pairs, (6) pairs have (|a-b|>2), so (25-6=19). Complement counting is quicker.

Step 3

Exam Tip

कुल (25) युग्मों में (|a-b|>2) वाले (6) युग्म हैं, इसलिए (25-6=19)। पूरक गिनती तेज रहती है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5\}\), \(B=\{1,2,3,4,5\}\) और \(T=\{(a,b):|a-b|\le2\}\) है, तो (|T|) क्या है? / If \(A=\{1,2,3,4,5\}\), \(B=\{1,2,3,4,5\}\), and \(T=\{(a,b):|a-b|\le2\}\), what is (|T|)?

Correct Answer: B. (19). Explanation: कुल (25) युग्मों में (|a-b|>2) वाले (6) युग्म हैं, इसलिए (25-6=19)। पूरक गिनती तेज रहती है। / Among (25) total pairs, (6) pairs have (|a-b|>2), so (25-6=19). Complement counting is quicker.

Which concept should I revise for this Mathematics MCQ?

Among (25) total pairs, (6) pairs have (|a-b|>2), so (25-6=19). Complement counting is quicker.

What exam hint can help solve this Mathematics question?

कुल (25) युग्मों में (|a-b|>2) वाले (6) युग्म हैं, इसलिए (25-6=19)। पूरक गिनती तेज रहती है।