How many words can be formed with the letters of the word UNIVERSITY, the vowels remaining together?

Explanation

To solve the problem of how many words can be formed with the letters of the word "UNIVERSITY" with the condition that the vowels remain together, we can follow these steps:

### Step 1: Identify the vowels and consonants
The word "UNIVERSITY" has the following letters:
- Vowels: U, I, E, I (total 4 vowels)
- Consonants: N, V, R, S, T, Y (total 6 consonants)

### Step 2: Treat the vowels as a single unit
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