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In how many ways can the letters of the word ‘INTERMEDIATE’ be arranged so that: the vowels always occupy even places? the relative order of vowels and consonants do not alter?

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INTERMEDIATE I = 2 times, T= 2 times, E=3 times, N, R, M, D, A Number of letters = 12
(i) There are 6 vowels.
They occupy even places 2nd, 4th, 6th„ 8th, 10th, 12th.
After there six there are six places and 5 letters, T is 2 times.
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