(n(U)=180), (n(A)=76), (n(B)=69), (n(C)=62), (n\(A\cap B\)=30), (n\(B\cap C\)=27), (n\(C\cap A\)=24) और (n\(A\cap B\cap C\)=10) हैं। किसी भी समुच्चय में नहीं आने वाले कितने हैं?
(n(U)=180), (n(A)=76), (n(B)=69), (n(C)=62), (n\(A\cap B\)=30), (n\(B\cap C\)=27), (n\(C\cap A\)=24), and (n\(A\cap B\cap C\)=10). How many are in none of the sets?
Explanation opens after your attempt
A. (44)
Concept
The union is (76+69+62-30-27-24+10=136), so outside is (180-136=44). Apply inclusion-exclusion carefully for three sets.
Why this answer is correct
The correct answer is A. (44). The union is (76+69+62-30-27-24+10=136), so outside is (180-136=44). Apply inclusion-exclusion carefully for three sets.
Exam Tip
संघ (76+69+62-30-27-24+10=136) है, इसलिए बाहर (180-136=44)। तीन समुच्चयों में समावेशन-बहिष्करण ध्यान से लगाएं।
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