How many ways are there to arrange the letters of the word EDUCATION so that all the following three conditions hold? the vowels occur in the same order (EUAIO); the consonants occur in the same order(DCTN); no two consonants are next to ea

Question

How many ways are there to arrange the letters of the word EDUCATION so that all the following three conditions hold? the vowels occur in the same order (EUAIO); the consonants occur in the same order(DCTN); no two consonants are next to each other.

Quantrex Academy · Accepted Answer

Correct answer: A. 15

first arrange EUAIO 1 . array c For consonant ^ E | U | A | I | O 6 4 (1) array 6 4 =15

How many ways are there to arrange the letters of the word EDUCATION so that all the following three conditions hold? the vowels occur in the same order (EUAIO); the consonants occur in the same order(DCTN); no two consonants are next to each other.

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