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In shelf arrangements of (8) distinct books, how many arrangements have three particular books not all together?(8) अलग-अलग पुस्तकों की शेल्फ व्यवस्था में तीन विशेष पुस्तकें सभी साथ न रहें, ऐसी कितनी व्यवस्थाएं हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (36000)(36000)
Subtract the cases where all three are together, (6!\cdot 3!), from the total (8!). For not-all-together conditions, subtract bad cases from total.कुल (8!) में से तीनों साथ वाली (6!\cdot 3!) व्यवस्थाएं घटती हैं। न-एक-साथ में कुल से खराब केस घटाएं।
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