तीन समुच्चयों में ठीक दो समुच्चयों में आने वालों की संख्या निकालने का सही सूत्र कौन सा है?
Which formula correctly gives the number of elements belonging to exactly two of three sets?
Explanation opens after your attempt
A. (n\(A\cap B\)+n\(B\cap C\)+n\(C\cap A\)-3n\(A\cap B\cap C\))
Concept
Each pairwise intersection includes the triple intersection, counted three times, so (3n\(A\cap B\cap C\)) is subtracted. Exactly two does not include the triple part.
Why this answer is correct
The correct answer is A. (n\(A\cap B\)+n\(B\cap C\)+n\(C\cap A\)-3n\(A\cap B\cap C\)). Each pairwise intersection includes the triple intersection, counted three times, so (3n\(A\cap B\cap C\)) is subtracted. Exactly two does not include the triple part.
Exam Tip
हर युग्म छेदन में त्रिक छेदन शामिल होता है, जो तीन बार गिना जाता है, इसलिए (3n\(A\cap B\cap C\)) घटता है। ठीक दो में त्रिक भाग शामिल नहीं होता।
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