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How many arrangements of the letters of (ENGINEERING) can be formed such that no two vowels are adjacent?शब्द (ENGINEERING) के अक्षरों से कितनी व्यवस्थाएँ बनेंगी जिनमें कोई भी दो स्वर साथ-साथ न आएँ?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (12600)(12600)
Arrange the consonants in (\frac{6!}{3!2!}) ways and place the vowels in (7) gaps in (\binom{7}{5}\frac{5!}{3!2!}) ways. Use the gap method when vowels must not be adjacent.पहले व्यंजनों को (\frac{6!}{3!2!}) तरीकों से सजाएँ और (7) खाली स्थानों में स्वरों को (\binom{7}{5}\frac{5!}{3!2!}) तरीकों से रखें। स्वर साथ न हों तो gap method लगाएँ।
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