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In arrangements of (EXCELLENCE), how many distinct arrangements have no two (E)'s adjacent?शब्द (EXCELLENCE) की व्यवस्थाओं में कोई दो (E) साथ न हों, ऐसी कितनी भिन्न व्यवस्थाएं हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (6300)(6300)
First arrange the non-(E) letters in (6!/(2!2!)) ways and place (E)'s in (4) of the (7) gaps. With identical letters, gap selection is enough.पहले गैर-(E) अक्षरों को (6!/(2!2!)) तरीकों से रखें और (7) अंतरालों में से (4) में (E) रखें। समान अक्षर हों तो अंतराल चयन काफी होता है।
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