यदि \(A=\{1,2,3\}\) और \(B=\{4,5\}\) हैं, तो \(A\times B\) के कितने गैर-रिक्त उपसमुच्चय हैं?
If \(A=\{1,2,3\}\) and \(B=\{4,5\}\), how many non-empty subsets does \(A\times B\) have?
Explanation opens after your attempt
Correct Answer
B. (63)
Concept
\(|A\times B|=3\cdot2=6\), so non-empty subsets are \(2^6-1=63\). Do not forget to subtract the empty set.
Why this answer is correct
The correct answer is B. (63). \(|A\times B|=3\cdot2=6\), so non-empty subsets are \(2^6-1=63\). Do not forget to subtract the empty set.
Exam Tip
\(|A\times B|=3\cdot2=6\), इसलिए गैर-रिक्त उपसमुच्चय \(2^6-1=63\) हैं। रिक्त समुच्चय घटाना न भूलें।
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