# 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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