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how many arrangements can be made using the letters of "EQUATIONS" provided that the vowels always...

how many arrangements can be made using the letters of "EQUATIONS" provided that the vowels always remain in the same order? NOTE: consonant letters can go in between the vowels; the vowels only need to be in the exact same order and do NOT have to be ALWAYS adjacent to each other.

e.g. "ETQUAIONS" would be one of the many possibilities; note that, here there are consonants in between the vowels but the order of the vowels is the same.

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