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

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Manager
Joined: 24 Jan 2005
Posts: 217
Location: Boston
How many different words can be formed with the letters of [#permalink]

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19 Mar 2005, 09:16
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
Posts: 418
Location: Phoenix

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19 Mar 2005, 11:22
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.
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Who says elephants can't dance?

Intern
Joined: 28 Jan 2005
Posts: 18

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19 Mar 2005, 14:30
total ways is !5 * !3 =720
19 Mar 2005, 14:30
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# How many different words can be formed with the letters of

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