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आइइफोन ₹ 200 जनाले एन्द्डोइडफोन मन पराएको पाइयो। तर 25 जनाले यी दुई मघ्ये कुनैपनि फोनहरु मन नपराएको पाइयो। In a survey of 300 people, it was found that 150 people liked I-phone and 200 people like Android phone. But 25 people did not like any of these two phones. a. यदि \( I \) र \( A \) ले क्रमशः आइ़फोन र एन्द्रोइड फोन मन पराउने मानिसहरुको समूहलाई जनाउंदट भने \( \mathrm{n}(\overline{1 \cup \mathrm{~A}}) \) को गणनात्मकता लेखुहोस। If I and A denote the sets of people who like I-phone and Android Phone respectively, write the cardinality of \( n(\overline{I \cup A}) \). [1] Ans : 25 b. माधिको जानकारीलाई भेनचित्रमा प्रस्तुत गन्नुहोस्। Present the above information in a Venn-diagram. [1] c. बाइफोनमात्र मन पराउने मानिसहरकको संख्या पत्ता लगाउनुहोसा Find the number of people who liked 1-phone only. [3] Ans: 75 d. आइफोन ₹ एन्ड्रोइइ फोन दुनि मन पराउनेको संख्या ₹ यी दुई मध्ये कुनै पनि फोन मन नपराउने मानिखहलक्को संख्यार्थीच तुलना गर्नुहोस् । Compare the number of people who like both I-phone and Android phone and who do not like any of these two phones. [1] Ans: \( 3: 1 \)

Ask by Smith Rodriguez. in Nepal
Feb 13,2025

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In a survey of 300 people: - 150 like I-phones - 200 like Android phones - 25 do not like either a. The number of people who like neither phone is 25. b. [Venn diagram showing 75 people who like only I-phones, 125 who like only Android phones, 75 who like both, and 25 who like neither.] c. 75 people like only I-phones. d. The ratio of people who like both phones to those who like neither is 3:1.

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गणितको धुनमा यो समस्या समाधान गर्न एक अद्भुत मज्जा छ। यहाँ नफराउने 25 जनालाई थाहा पाउनेपछि, हामीले तरिका निकाल्न सक्छौं। 300 मान्छेमा 150 आइफोन मन पराउने र 200 एन्ड्रोइड फोन मन पराउनेहरूको संख्या देखिन्छ। त्यसपछि, \(n(\overline{I \cup A})\) को मात्रा 25 नै हुन्छ, जसले न कुनै एक फोन मन पराउनेहरूको भागमा विचार गरिन्छ। अब, भेन चित्रमा यसलाई सरल बनाउँछौंः भेन चित्रमा दुई वृत्त गोलाकारमा आइफोन र एन्ड्रोइड फोनहरूको समूह देखाउनेछ, जहाँ एउटा भागमा मात्र आइफोन मन पराउने 75 जनालाई राख्न सकिन्छ। यसरी, भेन चित्रले कुनै पनि फोन न मन पराउने 25 जनालाई बाहिर देखाउँछ, जसले यो डेटा झलक दिन्छ कि कसमसँगको ईंटरएक्टिभ काम कस्तो हुन्छ।

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