UPSC NDA Math Model Paper 10

For no consonants to be together the word can be formed as
'1' A '2' I '3' O '4', where 1, 2, 3, 4 are the places where 2 consonants P and N could be placed
∴ Vowels arranged in = 3! ways
Ways of arranging consonants =‌4P2
The total number of ways formed N=3!×‌4P2
N=6×12=72