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In how many ways can the letters of (MATHEMATICS) be arranged if all vowels stay together?शब्द (MATHEMATICS) के अक्षरों को कितने तरीकों से व्यवस्थित किया जा सकता है यदि सभी स्वर साथ-साथ रहें?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (120960)(120960)
Treat the vowels as one block, giving (8!/(2!2!)) outside and (4!/2!) inside. Do not treat repeated letters as distinct.स्वरों को एक खंड मानकर बाहर (8!/(2!2!)) और भीतर (4!/2!) तरीके मिलते हैं। दोहराए अक्षरों को हर बार अलग न मानें।
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