यदि (A) और (B) सीमित समुच्चय हैं तथा \(A\subset B\) और (n(A)=n(B)) है तो कौन सा निष्कर्ष सही है?
If (A) and (B) are finite sets with \(A\subset B\) and (n(A)=n(B)), then which conclusion is correct?
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Correct Answer
A. (A=B)
Concept
For finite sets, if one is a subset of the other and both have equal cardinality, no extra element remains so (A=B). In exams the finiteness condition is important.
Why this answer is correct
The correct answer is A. (A=B). For finite sets, if one is a subset of the other and both have equal cardinality, no extra element remains so (A=B). In exams the finiteness condition is important.
Exam Tip
सीमित समुच्चयों में उपसमुच्चय और समान सदस्य संख्या होने पर कोई अतिरिक्त तत्व नहीं बचता इसलिए (A=B)। परीक्षा में सीमितता की शर्त महत्वपूर्ण है।
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