The word PATALIPUTRA has total 11 characters. Out of them,
5 are Vowels (A A I U A) occupying positions 2,4,6,8,11
6 are consonants (P T L P T R) occupying positions 1,3,4,5,8,9
Relative order of vowels and consonants cannot be changed.
i.e., position of vowels and consonants cannot be changed
5 vowels can be arranged in 5! / 3! ways (we divide by 3! as there are 3 'A')
6 consonants can be arranged in 6! / 2!×2! ways (we divide by (2! × 2!) as there are 2 'P' and 2 'T')
Total number of ways = (5!/ 3!)×(6!/2!×2!)=20×180=3600
