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Omni-MATH / How many words are there in a language that are 10 letters long and begin with a…

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problem

How many words are there in a language that are 10 letters long and begin with a vowel, given that the language uses only the letters A, B, C, D, and E, where A and E are vowels, and B, C, and D are consonants, and a word does not include the same letter twice in a row or two vowels in a row?

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