Soupy words

Discrete Mathematics Level pending

If \(n\) is the no of different types of words can you generate from the word \(\text{SESQUIPEDALIANISM}\), in which :

  • All the vowels occur together
  • Repetition of letters are allowed

Give your answer as sum of all digits of \(n\)

Clarification :

  • If \(n\) is \(234797200\) then you would enter \(2+3+4+7+9+7+2+0+0 = 34\) as the answer.
  • SESQUIPEDALIANISM is a real English word meaning having many syllables; given to or characterized by the use of long words

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