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In arrangements of (PRINCIPAL), how many distinct arrangements have all vowels only in odd positions?शब्द (PRINCIPAL) की व्यवस्थाओं में सभी स्वर केवल विषम स्थानों पर हों, ऐसी कितनी भिन्न व्यवस्थाएं हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (10800)(10800)
There are (5) odd positions among (9); place the (3) vowels in (^{5}C_3\cdot 3!/2!) ways and consonants in (6!/2!) ways. Decide position types first.(9) स्थानों में (5) विषम स्थान हैं, जिनमें (3) स्वर (^{5}C_3\cdot 3!/2!) तरीकों से बैठेंगे और व्यंजन (6!/2!) तरीकों से। स्थान-प्रकार पहले तय करें।
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