यदि \(A\subseteq B\), (A) और (B) दोनों सीमित समुच्चय हैं और (n(A)=n(B)=7), तो निष्कर्ष क्या होगा?
If \(A\subseteq B\), (A) and (B) are finite sets, and (n(A)=n(B)=7), what will be the conclusion?
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Correct Answer
A. (A=B)
Concept
For finite sets, if one is a subset of the other and both have the same number of elements, they are equal. This is a useful rule for proving equality.
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 the same number of elements, they are equal. This is a useful rule for proving equality.
Exam Tip
सीमित समुच्चयों में यदि एक दूसरे का उपसमुच्चय हो और दोनों में समान संख्या में अवयव हों, तो वे बराबर होते हैं। यह बराबरी सिद्ध करने का उपयोगी नियम है।
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