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Question

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
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B
124
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C
120
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D
160
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E
None of these
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Solution

The correct option is A 48

The word 'JUDGE' has 5 letters in which `JDG' are consonants and `UE' are vowels. On keeping vowels together, we get JDG (UE)
Number of arrangements = 4! × 2 !
=4×3×2×2
= 48


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