यदि \(A=\{1,2,3\}\), \(B=\{2,3,4\}\), \(C=\{3,4,5\}\) हैं, तो (|A\times\(B\cap C\)|) क्या है?

If \(A=\{1,2,3\}\), \(B=\{2,3,4\}\), \(C=\{3,4,5\}\), what is (|A\times\(B\cap C\)|)?

Explanation opens after your attempt
Correct Answer

B. (6)

Step 1

Concept

\(B\cap C={3,4}\), so (|A\times\(B\cap C\)|=3\cdot2=6). Multiply only after finding the intersection.

Step 2

Why this answer is correct

The correct answer is B. (6). \(B\cap C={3,4}\), so (|A\times\(B\cap C\)|=3\cdot2=6). Multiply only after finding the intersection.

Step 3

Exam Tip

\(B\cap C={3,4}\), इसलिए (|A\times\(B\cap C\)|=3\cdot2=6)। प्रतिच्छेद के बाद ही गुणा करें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3\}\), \(B=\{2,3,4\}\), \(C=\{3,4,5\}\) हैं, तो (|A\times\(B\cap C\)|) क्या है? / If \(A=\{1,2,3\}\), \(B=\{2,3,4\}\), \(C=\{3,4,5\}\), what is (|A\times\(B\cap C\)|)?

Correct Answer: B. (6). Explanation: \(B\cap C={3,4}\), इसलिए (|A\times\(B\cap C\)|=3\cdot2=6)। प्रतिच्छेद के बाद ही गुणा करें। / \(B\cap C={3,4}\), so (|A\times\(B\cap C\)|=3\cdot2=6). Multiply only after finding the intersection.

Which concept should I revise for this Mathematics MCQ?

\(B\cap C={3,4}\), so (|A\times\(B\cap C\)|=3\cdot2=6). Multiply only after finding the intersection.

What exam hint can help solve this Mathematics question?

\(B\cap C={3,4}\), इसलिए (|A\times\(B\cap C\)|=3\cdot2=6)। प्रतिच्छेद के बाद ही गुणा करें।