how many ways are there to arrange the letters of the word

1.	how many ways are there to arrange the letters of the word
Answer» Tell this how many ways are there to arrange the letters of the word EDUCATION so that all the following three conditions hold ? 1. the vowels occur in the same order (EUAIO), 2. the consonants occur in the same order (DCTN), 3. no two consonants are next to each other.

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