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In how many ways can the letters of the word SANFOUNDRY be rearranged such that the vowels always appear together?

In how many ways can the letters of the word SANFOUNDRY be rearranged such that the vowels always appear together? Correct Answer 8!*3!

Take AOU together and treat it like 1 entity and arrange SNFNDRY in 8! Ways. Then, the AOU can be arranged in 3! ways. So, total arrangements = 8! * 3! = 40320 * 6 = 241920.

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