In how many different ways can the letters of the word JUDGE be arranged such that the vowels always come together?
None of these
48
32
64
Explanation:
The word JUDGE has 5 letters. It has 2 vowels [UE] and these 2 vowels should always come together. Hence these 2 vowels can be grouped and considered as a single letter. That is, JDG[UE].
Hence we can assume total letters as 4 and all these letters are different. Number of ways to arrange these letters
= 4!=4×3×2×1=24
In the 2 vowels [UE], all the vowels are different. Number of ways to arrange these vowels among themselves
=2!=2×1=2
Total number of ways =24×2=48