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Related In how many different ways can the letters of the word 'JUDGE' be arranged such that the vowels always come together? a]64b]48c]32d]None of these Correct answer is option 'B'. Can you explain this answer?
There are 2 vowels keep them at one place in word ie. JDG[UE] now this can be arranged in 4! ways ie. 24 ways but..... UE can
also be arranged in 2! ways ie 2×1 = 2 ways now total number of ways are 24×2=48.
that's answer
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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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There are 2 vowels keep them at one place in word ie. JDG[UE] now this can be arranged in 4! ways ie. 24 ways but..... UE can also be arranged in 2! ways ie 2×1 = 2 ways now total number of ways are 24×2=48.that's answer