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What is the total number of distinct arrangements of the letters of (PESSIMISTIC)?शब्द (PESSIMISTIC) के अक्षरों की कुल भिन्न व्यवस्थाएं कितनी हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (1108800)(1108800)
Here (S) appears three times and (I) appears three times, so the count is (11!/(3!3!)). Divide by the factorial of each repeated group.इसमें (S) तीन बार और (I) तीन बार है, इसलिए संख्या (11!/(3!3!)) है। दोहराव के हर समूह के फैक्टोरियल से भाग दें।
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