यदि \(A=\{1,2\}\) और \(B=\{3,4\}\) हैं, तो \(A\times B=B\times A\) कब होगा?
If \(A=\{1,2\}\) and \(B=\{3,4\}\), when will \(A\times B=B\times A\)?
Explanation opens after your attempt
Correct Answer
A. यह नहीं होगा क्योंकि \(A\ne B\)it will not happen because \(A\ne B\)
Concept
Having the same number of elements is not enough. Usually \(A\times B=B\times A\) only when (A=B) or one set is empty.
Why this answer is correct
The correct answer is A. यह नहीं होगा क्योंकि \(A\ne B\) / it will not happen because \(A\ne B\). Having the same number of elements is not enough. Usually \(A\times B=B\times A\) only when (A=B) or one set is empty.
Exam Tip
केवल समान संख्या के अवयव होना पर्याप्त नहीं है। सामान्यतः \(A\times B=B\times A\) तभी जब (A=B) या कोई समुच्चय रिक्त हो।
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