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JEE MATHEMATICS MCQ: PERMUTATIONS

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The number of ways by which letter of word ASSASSINATION can be arranged such that all vowels come together is:
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Correct option: C
8!6!4!(2!)23!\frac{8 ! 6 !}{4 !(2 !)^2 3 !}
Option D (8!6!4!3!2!\frac{{8 ! 6 !}}{{4 ! 3 ! 2 !}}) is correct because it represents the number of arrangements of the letters in the word ASSASSINATION with all vowels together, considering repetitions.

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