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In how many ways can the letters of the word permutations be arranged such that the order of vowels remains unchanged?

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by Gmat_mission » Sun Mar 14, 2021 5:46 am

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In how many ways can the letters of the word permutations be arranged such that the order of vowels remains unchanged?

A. \(\dfrac{12!}{2!}\)

B. \(\dfrac{12!}{5!}\)

C. \(\dfrac{12!}{2!\cdot 5!}\)

D. \(\dfrac{4\cdot 7!}{2!}\)

E. \(\dfrac{4\cdot 7!}{2!\cdot 5!}\)

Answer: C

Source: GMAT Club Tests
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