यदि (A) और (B) सीमित समुच्चय हैं तथा (n\(A\cup B\)=n(A)+n(B)), तो कौन-सा निष्कर्ष सही है?
If (A) and (B) are finite sets and (n\(A\cup B\)=n(A)+n(B)), which conclusion is correct?
Explanation opens after your attempt
Correct Answer
A. \(A\cap B=\varnothing\)
Concept
In the general formula, (n\(A\cap B\)) is subtracted. The equality holds only when (n\(A\cap B\)=0), that is \(A\cap B=\varnothing\).
Why this answer is correct
The correct answer is A. \(A\cap B=\varnothing\). In the general formula, (n\(A\cap B\)) is subtracted. The equality holds only when (n\(A\cap B\)=0), that is \(A\cap B=\varnothing\).
Exam Tip
सामान्य सूत्र में (n\(A\cap B\)) घटता है। योग बराबर तभी होगा जब (n\(A\cap B\)=0), यानी \(A\cap B=\varnothing\)।
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