In how many ways can the letters of the word PATLIPUTRA be arranged, so that the relative order of vowels are constants do not alter ?

Explanation

To solve the problem of arranging the letters of the word "PATLIPUTRA" such that the relative order of vowels does not change, we can follow these steps:

### Step 1: Identify the letters and their types
The word "PATLIPUTRA" consists of:
- Vowels: A, I, U, A (Total: 4 vowels)
- Consonants: P, T, L, P, T, R (Total: 6 consonants)

### Step 2: Count the consonants
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