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# feeling facetious?

Nick George
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Posts: 815
How many ways can the letters in FACETIOUS be arranged such that the vowels remain in the correct order?

Michael Dunn
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Posts: 4632
3024

Nick George
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Posts: 815
bingo!
nicely done

shankar vembu
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Posts: 309
9c4 * 4! = 3024
[ June 11, 2004: Message edited by: shankar vembu ]

Nick George
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Posts: 815
That's how my math teacher did it... I like my method, though...

total of combinations, ignoring vowel rule: 9!
probablity that, in any given combination, the vowels are in the right order: 1/5!

9!*(1/5!)=3024

shankar vembu
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Posts: 309
Originally posted by Joseph George:
That's how my math teacher did it... I like my method, though...

total of combinations, ignoring vowel rule: 9!
probablity that, in any given combination, the vowels are in the right order: 1/5!

9!*(1/5!)=3024

Neat