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Quote:
Interesting mathematical progression then:
letters=words
2=2
3=6
4=24
5=120


some sort of factorial Fibonacci?


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a two-letter word which works: aa

-joe (me/em) friday

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for three ate gets close?

eat
ate
tea

then
tae (maybe?)
aet
ata
and my favorite:

ETA



formerly known as etaoin...
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A
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Originally Posted By: etaoin
some sort of factorial Fibonacci?


I wouldn't make it seem that complicated. It's simply a matter of the factorial of any number. Suppose you have an 8 letter word. For the first position, you have eight choices. Once you've chosen the first letter, you now have 7 letters left over to choose from for the second letter in the word, and so on, so that the number of possible choices for a given position decreases by one each time. Hence 8 x 7 x 6 x 5 x 4 x3 x 2 x 1 = 8! = 40320 combinations of 8 letters. It naturally follows that 9! will be 9 times 8! and so on.

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Remove the restriction to using just the English language and you probably will have better odds.


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Originally Posted By: tsuwm
well, you could try words with repeated letters -- that would make the task somewhat easier.

Actually, I think you can pretty much eliminate all 3 or more letter words with repeated letters because one of the combinations is going to be starting with the two repeated letters and another is going to end with the two repeated letters.

There are some words end in double letters (butt, ass, ...) but not too many start with double letters (aardvark, oocyst, ... um... ). I don't think those two sets are going to intersect.

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Oo, good point.

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Originally Posted By: Alex Williams
Originally Posted By: etaoin
some sort of factorial Fibonacci?


I wouldn't make it seem that complicated. It's simply a matter of the factorial of any number.


I thought the factorial of a number was the ADDITION of all previous numbers, not the multiplication of them?
That is, !8 = 1+2+3+4+5+6+7+8=36
It is a factorial multiplication, whatever the technical term for that is, but not THE factorial of the number. I think?

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Originally Posted By: The Pook
Originally Posted By: Alex Williams
Originally Posted By: etaoin
some sort of factorial Fibonacci?


I wouldn't make it seem that complicated. It's simply a matter of the factorial of any number.


I thought the factorial of a number was the ADDITION of all previous numbers, not the multiplication of them?
That is, !8 = 1+2+3+4+5+6+7+8=36
It is a factorial multiplication, whatever the technical term for that is, but not THE factorial of the number. I think?


I think the word you're looking for is factorial.

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Originally Posted By: tsuwm
a two-letter word which works: aa

-joe (me/em) friday


No.

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