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Programming Diversions

feeling facetious?

Nick George

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posted 19 years ago

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How many ways can the letters in FACETIOUS be arranged such that the vowels remain in the correct order?

I've heard it takes forever to grow a woman from the ground

Michael Dunn

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posted 19 years ago

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3024

Nick George

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posted 19 years ago

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bingo!
nicely done

I've heard it takes forever to grow a woman from the ground

shankar vembu

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posted 19 years ago

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9c4 * 4! = 3024

[ June 11, 2004: Message edited by: shankar vembu ]

Nick George

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posted 19 years ago

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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

I've heard it takes forever to grow a woman from the ground

shankar vembu

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posted 19 years ago

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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