In how many different ways can the letters of the word "LEADING" be arranged in such a way that the vowels always come together?
A
360
B
480
C
720
D
5040
Correct Option:
C
Explanation
In LEADING, the vowels E, A and I must remain together. Treat the three vowels as one block. Along with L, D, N and G, there are 5 objects, arrangeable in 5! ways. The vowels themselves can be arranged in 3! ways. Total =5!×3!=120×6=720.
