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>you can pretty much eliminate all 3 or more letter words

ooh.. oho! hoo!!

-joe (good point, though) friday

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Originally Posted By: Faldage
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.


OK, you're right I'm wrong, like I said I'm not good at remembering maths. So what is the addition of the numbers called then?

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A
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Originally Posted By: The Pook
OK, you're right I'm wrong, like I said I'm not good at remembering maths. So what is the addition of the numbers called then?


I guess you are talking about triangular numbers:

T(1) = 1
T(2) = 1 + 2 = 3
T(3) = 1 + 2 + 3 = 6
T(n) = 1 + 2 + 3 + ... + (n-1) + n

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Yes, it's all coming vaguely back to me now.

And the fact that 10 is a triangular number and we use base ten is what gives the number 9 (10-1) its special properties, like if you multiply it by any whole integer above zero and then add the digits of the answer until you get back to one digit again it's always 9. Or something like that. But this is a word forum not a number forum so i'd better shut up now.

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Another interesting question is: What is the longest sentence that is grammatical through all its possible permutations?

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Originally Posted By: Hydra
Another interesting question is: What is the longest sentence that is grammatical through all its possible permutations?


What do you mean? There are many ways you can change (ie 'permute') a sentence. Do you mean word order? Clause order? Anagramise it? What?

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Originally Posted By: The Pook
Originally Posted By: Hydra
Another interesting question is: What is the longest sentence that is grammatical through all its possible permutations?


What do you mean? There are many ways you can change (ie 'permute') a sentence. Do you mean word order? Clause order? Anagramise it? What?


In the spirit of common sense I'd go with word order. Would it include changing of parts of speech? E.g., S V O Dog bites man S V O Bites dog man Adj S V Dog man bites Adj S V Man dog bites etc.

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I'd go with word order

Though, I, too, thought of word order, rearranging higher constituents might be interesting. Some might sound a bit yoda-ish: Nearly everybody likes strawberry ice cream => Strawberry ice cream, nearly everybody likes. Doing it at the word level, would be more difficult in more highly inflected languages (e.g., Russian, Latin) and easier in less (e.g., Chinese). Actually, in Russian or Latin, moving the words around would not change the general meaning of the sentence. In Chinese, words are commonly adjectives, nouns, and verbs.


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>Some might sound a bit yoda-ish

Absolutely. But I was just thinking there are some sets of words that are grammatical in almost every possible order. Best approach would be to think of words that are homographs of other words and have lots of meanings.

This is not the best example of that, but...

It will say “you”.
“It”, you say, Will?
It? Say “Will”, you!
Will it say “you”?
Will you say it?
“Will it”, you say?
Say it, will you?
Say you will it!
You say it, Will.
You say it will.

etc.

What is the longest set of words with the most permutations?

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