In the word 'INDEPENDENCE' we have 5 vowels IEEEE and 7 consonants NDPNDNC
We treat vowels IEEEE as one group
Thus, we have letter group NDPNDNC (IEEEE).
This has 8 (7+1) letters of which N occurs 3 times, D occurs 2 times and rest are different.
Number of ways arranging these letters = 8!/(3!x2!) = 3360
Now, 5 vowels in which E occurs 4 times and the rest are different, can be arranged in 5!/4! = 5 ways
.'. Required number of ways = ( 3360 x 5) = 16800
Correct Option 8)