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# In how many ways can the letters of the word ABACUS be rearranged such

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Intern
Joined: 09 May 2018
Posts: 3
In how many ways can the letters of the word ABACUS be rearranged such  [#permalink]

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12 Jul 2018, 05:36
00:00

Difficulty:

45% (medium)

Question Stats:

63% (00:37) correct 38% (01:43) wrong based on 8 sessions

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

A. $$\frac{6!}{2!}$$
B. $$3!*3!$$
C. $$\frac{4!}{2!}$$
D. $$\frac{4!∗3!}{2!}$$
E. $$\frac{3!∗3!}{2!}$$

Source: Wizako GMAT
Intern
Joined: 09 May 2018
Posts: 3
Re: In how many ways can the letters of the word ABACUS be rearranged such  [#permalink]

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12 Jul 2018, 05:37
Reserved for Official Explanation
Math Expert
Joined: 02 Sep 2009
Posts: 52210
Re: In how many ways can the letters of the word ABACUS be rearranged such  [#permalink]

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12 Jul 2018, 05:43
WizakoMuthu wrote:
In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?

A. $$\frac{6!}{2!}$$
B. $$3!*3!$$
C. $$\frac{4!}{2!}$$
D. $$\frac{4!∗3!}{2!}$$
E. $$\frac{3!∗3!}{2!}$$

Source: Wizako GMAT

Discussed here: https://gmatclub.com/forum/in-how-many- ... 15088.html
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Re: In how many ways can the letters of the word ABACUS be rearranged such &nbs [#permalink] 12 Jul 2018, 05:43
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