the number of ways of arranging letters of word EDUCATION so that all vowels come together.
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As the relative position of the vowels and consonants in any arrangement should remain the same as in the word EDUCATION, the vowels can occupy only the before mentioned 4 places and the consonants can occupy 1st, 2nd, 4th, 6th and 9th positions. The 4 vowels can be arranged in the 3rd, 5th, 7th and 8th position in 4!
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