यदि \(A=\{0,1,2\}\), \(B=\{1,2,3,4\}\) और \(C=\{2,4,6\}\) हैं, तो (|A\times\(B\cap C\)|) क्या होगा?
If \(A=\{0,1,2\}\), \(B=\{1,2,3,4\}\), and \(C=\{2,4,6\}\), what is (|A\times\(B\cap C\)|)?
Explanation opens after your attempt
Correct Answer
B. (6)
Concept
\(B\cap C={2,4}\), so the cardinality is \(3\cdot2=6\). Multiply only after finding the intersection.
Why this answer is correct
The correct answer is B. (6). \(B\cap C={2,4}\), so the cardinality is \(3\cdot2=6\). Multiply only after finding the intersection.
Exam Tip
\(B\cap C={2,4}\), इसलिए कार्डिनलिटी \(3\cdot2=6\) है। प्रतिच्छेद के बाद ही गुणा करें।
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