तीन समुच्चयों में केवल (A=23), केवल (B=27), केवल (C=21), केवल \(A\cap B=13\), केवल \(B\cap C=11\), केवल \(C\cap A=9\) और \(A\cap B\cap C=7\) हैं। (n(\(A\cup B\cup C\)^c)) कितना होगा यदि (n(U)=130)?
In three sets, only (A=23), only (B=27), only (C=21), only \(A\cap B=13\), only \(B\cap C=11\), only \(C\cap A=9\), and \(A\cap B\cap C=7\). What is (n(\(A\cup B\cup C\)^c)) if (n(U)=130)?
Explanation opens after your attempt
Correct Answer
A. (19)
Concept
The inside union is (23+27+21+13+11+9+7=111), so outside is (130-111=19). Add all seven inside regions only once.
Why this answer is correct
The correct answer is A. (19). The inside union is (23+27+21+13+11+9+7=111), so outside is (130-111=19). Add all seven inside regions only once.
Exam Tip
अंदर का संघ (23+27+21+13+11+9+7=111), इसलिए बाहर (130-111=19)। सातों अंदरूनी क्षेत्रों को केवल एक बार जोड़ें।
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