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# In how many ways the letters of the word DOUBLE be arranged

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Senior Manager
Joined: 30 May 2005
Posts: 277
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In how many ways the letters of the word DOUBLE be arranged [#permalink]  04 Sep 2005, 13:05
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In how many ways the letters of the word DOUBLE be arranged so that the order in which the vowels appear in the word does not change

Well the OE is 6!/3!
since the letters are not repeated they can be arranged in 6! Ways
But i don't understand why it is divided by 3!(standing for the number of ways the vowels be arranged )
Can anyone explain me why thanks
Senior Manager
Joined: 04 May 2005
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Location: CA, USA
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mandy,

divided by 3! because for three letters OUE, there are 3! ways to arrange them, and 'OUE' is just one of them.

thanks for the questions.
Senior Manager
Joined: 30 May 2005
Posts: 277
Followers: 1

Kudos [?]: 10 [0], given: 0

qpoo wrote:
mandy,

divided by 3! because for three letters OUE, there are 3! ways to arrange them, and 'OUE' is just one of them.

thanks for the questions.

You are welcomed!
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