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In arrangements of (INSTITUTE), how many distinct arrangements have no two (T)'s adjacent?शब्द (INSTITUTE) की व्यवस्थाओं में कोई दो (T) साथ न हों, ऐसी कितनी भिन्न व्यवस्थाएं हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (12600)(12600)
Arrange non-(T) letters in (6!/2!) ways and choose (3) of the (7) gaps for the (T)'s. Since the (T)'s are identical, only choose gaps.पहले गैर-(T) अक्षरों को (6!/2!) तरीकों से रखें और (7) अंतरालों में से (3) में (T) रखें। समान (T) होने के कारण केवल अंतराल चुनें।
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