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From (9) persons, a row of (4) persons is to be formed. Two particular persons must not sit together. How many rows are possible?(9) व्यक्तियों में से (4) व्यक्तियों की पंक्ति बनानी है। दो निश्चित व्यक्ति एक साथ न आएँ। ऐसी पंक्तियाँ कितनी होंगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2784)(2784)
Subtract arrangements where the two particular persons are together from (^{9}P_{4}). Treat the pair as a block when they are together.कुल (^{9}P_{4}) से उन व्यवस्थाओं को घटाएँ जिनमें दोनों निश्चित व्यक्ति साथ हों। साथ आने पर उन्हें ब्लॉक मानें।
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