\(यदि (A={1,2,3,4}), (B={1,2,3,4}) और (S={(a,b):a+b\) is even\(}) है, तो (S) के पूरक में (A\times B) के सापेक्ष कितने युग्म होंगे\)?

\(If (A={1,2,3,4}), (B={1,2,3,4}), and (S={(a,b):a+b\) is even\(}), how many pairs are in the complement of (S) relative to (A\times B)\)?

Explanation opens after your attempt
Correct Answer

B. (8)

Step 1

Concept

The complement contains pairs with odd sum, and the count is \(2\cdot2+2\cdot2=8\). For complements, write the opposite condition.

Step 2

Why this answer is correct

The correct answer is B. (8). The complement contains pairs with odd sum, and the count is \(2\cdot2+2\cdot2=8\). For complements, write the opposite condition.

Step 3

Exam Tip

पूरक में विषम योग वाले युग्म होंगे और उनकी संख्या \(2\cdot2+2\cdot2=8\) है। पूरक गिनती में विपरीत शर्त लिखें।

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Mathematics Answer, Explanation and Revision Hints

\(यदि (A={1,2,3,4}), (B={1,2,3,4}) और (S={(a,b):a+b\) is even}) है, तो (S) के पूरक में \(A\times B\) के सापेक्ष कितने युग्म होंगे? \(/ If (A={1,2,3,4}), (B={1,2,3,4}), and (S={(a,b):a+b\) is even\(}), how many pairs are in the complement of (S) relative to (A\times B)\)?

Correct Answer: B. (8). Explanation: पूरक में विषम योग वाले युग्म होंगे और उनकी संख्या \(2\cdot2+2\cdot2=8\) है। पूरक गिनती में विपरीत शर्त लिखें। / The complement contains pairs with odd sum, and the count is \(2\cdot2+2\cdot2=8\). For complements, write the opposite condition.

Which concept should I revise for this Mathematics MCQ?

The complement contains pairs with odd sum, and the count is \(2\cdot2+2\cdot2=8\). For complements, write the opposite condition.

What exam hint can help solve this Mathematics question?

पूरक में विषम योग वाले युग्म होंगे और उनकी संख्या \(2\cdot2+2\cdot2=8\) है। पूरक गिनती में विपरीत शर्त लिखें।