(A) 181045
(B) 23223
(C) 151200
(D) 456545
Correct Option is: C
In the word ‘ABOMINABLES’, we treat the vowels AOIAE as one letter.
Thus, we have BMNBLS (AOIAE).
This has 7 (6 + 1) letters of which B occurs 2 times and the rest are different.
Number of ways arranging these letters = 7! / 2!
= (7×6×5×4×3×2×1) / (2×1)
= 2520
Now 5 vowels in which A occurs 2 times and the rest are different can be arranged in 5!/2!=120/2
=60
Required number of ways=2520×60=151200