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In how many different ways can the letters of the word JUDGE be arranged in such a way that the vowels always come together?

In how many different ways can the letters of the word JUDGE be arranged in such a way that the vowels always come together? Correct Answer 48

The given word contains 5 different letters.
Keeping the vowels UE together, we suppose them as 1 letter.
Then, we have to arrange the letters JDG (UE).
Now, we have to arrange in 4! = 24 ways.
The vowels (UE) can be arranged among themselves in 2 ways.
∴ Required number of ways = (24 × 2) = 48

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