In how many different ways can the letters of the word ‘FUDGE’ be arranged in such a way that the vowels always come together?
The word FUDGE 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 FDG(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)
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