24.In how many different ways can the letters of the word ‘JUDGE’ be arranged in such a way that the vowels always come together?
A. 48 B. 120
C. 124 D. 160
Answer:
The word JUDGE has 5 different letters.
When, the vowels UE are always together, they can be supposed to form one letter.
Then, we have to arrange the letters JDG(UE).
Now, 4 letters can be arranged in 4! = 24 ways.
The vowels (UE) can be arranged in 2!= 2 ways.
Required number of ways = (24 x 2)
= 48.
