How many words can be formed with the letters of thw word 'PATALIPUTRA' without changing the relative positions of vowels and consonants?

Explanation

To solve the problem of how many words can be formed with the letters of the word "PATALIPUTRA" without changing the relative positions of vowels and consonants, we can follow these steps:

### Step 1: Identify the Vowels and Consonants
The word "PATALIPUTRA" consists of the following letters:
- Vowels: A, A, I, U, A (total of 5 vowels)
- Consonants: P, T, L, P, T, R (total of 6 consonants)

### Step 2: Count the Arrangements of Vowels
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