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In arrangements of (ARRANGEMENT), how many distinct arrangements have no two vowels adjacent?शब्द (ARRANGEMENT) की व्यवस्थाओं में कोई दो स्वर साथ न हों, ऐसी कितनी भिन्न व्यवस्थाएं हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (529200)(529200)
Arrange consonants in (7!/(2!2!)) ways, then choose (4) of the (8) gaps and arrange vowels in (4!/(2!2!)) ways. Use the gap method for non-adjacent vowels.पहले व्यंजन (7!/(2!2!)) तरीकों से रखें, फिर (8) अंतरालों में (4) स्वर चुनकर (4!/(2!2!)) तरीकों से सजाएं। न-साथ स्वर में अंतराल विधि लगाएं।
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