यदि \(A=\{1,2,3\}\), \(B=\{2,3,4\}\) और \(C=\{1,3,5\}\) हैं, तो (\(A\times B\)\cap\(A\times C\)) की कार्डिनलिटी क्या है?
If \(A=\{1,2,3\}\), \(B=\{2,3,4\}\), and \(C=\{1,3,5\}\), what is the cardinality of (\(A\times B\)\cap\(A\times C\))?
Explanation opens after your attempt
Correct Answer
B. (3)
Concept
(\(A\times B\)\cap\(A\times C\)=A\times\(B\cap C\)), and \(B\cap C={3}\). Hence the cardinality is \(3\cdot1=3\).
Why this answer is correct
The correct answer is B. (3). (\(A\times B\)\cap\(A\times C\)=A\times\(B\cap C\)), and \(B\cap C={3}\). Hence the cardinality is \(3\cdot1=3\).
Exam Tip
(\(A\times B\)\cap\(A\times C\)=A\times\(B\cap C\)) और \(B\cap C={3}\)। इसलिए कार्डिनलिटी \(3\cdot1=3\) है।
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