How many ways can one arrange the word EDUCATION such that relative positions of vowels and consonants remains same?
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Answer / Muneesh Chandra
The word EDUCATION has 5 vowels (E, U, A, O, I) and 6 consonants (D, C, T, N). To arrange the word while keeping the relative positions of vowels and consonants the same, we would have to fix the positions of the 5 vowels and then arrange the 6 consonants among themselves. This can be done in 6!/(5! * (6-5)!) = 720/120 = 6 ways.
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