Permutation

How many ways are there to arrange the letters of the word E D U C A T I O N EDUCATION such that all the following conditions hold

  • The vowels occur in the same order ( E U A I O ) (EUAIO)
  • The consonant occur in same order ( D C T N ) (DCTN)
  • No two consonants are next to each other
120 24 72 15

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