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# How many different words can be formed with the letters of

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Manager
Joined: 24 Jan 2005
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Location: Boston
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How many different words can be formed with the letters of [#permalink]  19 Mar 2005, 08:16
How many different words can be formed with the letters of the word equation without changing the relative order of the vowels and consonants.

(a) 620
(b) 840
(c) 720
(d) 1000
(e) 1260

BTW Equation is one rare english word which has all the 5 vowels in it.
Senior Manager
Joined: 15 Mar 2005
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5 vowels can be arranged in their 5 particular places in 5! ways, and 3 consonents can be arranged in their 3 particular places in 3! ways.

Therefore, total ways = 5!3! = 720.
_________________

Who says elephants can't dance?

Intern
Joined: 28 Jan 2005
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total ways is !5 * !3 =720
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