यदि \(A=\{a,b,c\}\) और \(B=\{1,2\}\) हैं, तो \(B\times A\) में कितने अवयव होंगे?
If \(A=\{a,b,c\}\) and \(B=\{1,2\}\), how many elements will \(B\times A\) have?
Explanation opens after your attempt
Correct Answer
B. (6)
Concept
\(|B\times A|=|B|\cdot|A|=2\cdot3=6\). Reversing order changes pairs but not the cardinality.
Why this answer is correct
The correct answer is B. (6). \(|B\times A|=|B|\cdot|A|=2\cdot3=6\). Reversing order changes pairs but not the cardinality.
Exam Tip
\(|B\times A|=|B|\cdot|A|=2\cdot3=6\)। क्रम बदलने से युग्म बदलते हैं, पर कार्डिनलिटी समान रहती है।
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