In how many different ways can the letters of the word MULTIPLE be arranged so that the vowels always come together?
a) 4320
b) 2160
c) 1080
d) 40320
e) 20160
We consider all the three vowels (U, I, E) as one letter, so total number of letters = 6,
and three vowels can be arranged in 3! Ways among themselves. However, the letter ‘L’
comes twice.
:. Total number of ways = (6! × 3!)/2! = 720 × 3 = 2160
Answer is: b)