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#173768 - 02/20/08 11:48 PM Complete anagrams in English  
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The Pook Offline
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Are there any 4 letter words (or greater) in English that are complete anagrams? That is, that spell a valid word no matter what order the letters are rearranged into.

#173770 - 02/21/08 12:01 AM Re: Complete anagrams in English [Re: The Pook]  
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Buffalo Shrdlu Offline
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welcome, Pook!

interesting question. I have no answer.


formerly known as etaoin...
#173776 - 02/21/08 12:40 AM Re: Complete anagrams in English [Re: Buffalo Shrdlu]  
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The Pook Offline
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I suspect the answer is no (at least for four letters) but no one has ever been able to tell me for sure.

And thanks for the welcome! Just finding my way around. It's a bit confusing with this rather archaic interface that it makes it hard to find whether topics like this have been covered before, so apologies if it has somewhere.

Last edited by The Pook; 02/21/08 12:41 AM.
#173784 - 02/21/08 02:41 AM Re: Complete anagrams in English [Re: The Pook]  
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Hi Pook,

I don't know of any off hand. This is one of those interesting questions that'll get all of us scouring the corners of our brains, though.

Welcome.

#173793 - 02/21/08 03:23 AM Re: Complete anagrams in English [Re: The Pook]  
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no matter what order the letters are rearranged into. You mean if the word is 1234, then 1324, 1423, 4321, 3214, 2314, etc. would all be words? Yow.

#173797 - 02/21/08 04:16 AM Re: Complete anagrams in English [Re: Jackie]  
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The Pook Offline
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Yes, sixteen anagrams from four letters. Or twenty five words from five letters.

#173815 - 02/21/08 12:48 PM Re: Complete anagrams in English [Re: The Pook]  
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BranShea Offline
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read
dear
rade*
Edar
dare
ader *

* ader wax n. A waxy mineral that is a mixture of hydrocarbons and occurs in association with petroleum; some varieties are used in making ceresin and candles;

* Rade \Rade\ (r[=a]d), n.
A raid. [Scot.]
[1913 Webster]

16? That would mean 4 words starting with D, 4 with E, 4 with A and 4 with R , if you would consider the word 'read'?
I've got six. Impossible task it seems.
Although I'm not good at what seems like mathematics to me, I'm interested.


#173816 - 02/21/08 01:03 PM Re: Complete anagrams in English [Re: BranShea]  
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Alex Williams Offline
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There would have to 24 words to satisfy the condition. In general the number of combinations possible for n letters is n!, such as in this case, 4 x 3 x 2 x 1.

1234 , 2134 , 3124 , 4123
1243 , 2143 , 3142 , 4132
1324 , 2314 , 3214 , 4213
1342 , 2341 , 3241 , 4231
1423 , 2413 , 3412 , 4312
1432 , 2431 , 3421 , 4321

The best I can come up with is east, teas, eats, seat, and sate, and I suppose we could also add tase, as in Don't tase me, bro! although that would be stretching it.

Last edited by Alex Williams; 02/21/08 01:16 PM.
#173821 - 02/21/08 01:39 PM Re: Complete anagrams in English [Re: Alex Williams]  
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The Pook Offline
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I'm obviously better at words than maths too - yeah 24, not 16. You're right, it's a factorial progression.

I agree, even 16 is not likely, let alone 24.

How about a three letter word?
You would only need six for that:

123
132
213
231
312
321

For five letters you would need:

6x1-2s 6x2-1s 6x3-1s 6x4-1s 6x5-1s
6x1-3s 6x2-3s 6x3-2s 6x4-2s 6x5-2s
6x1-4s 6x2-4s 6x3-4s 6x4-3s 6x5-3s
6x1-5s 6x2-5s 6x3-5s 6x4-5s 6x5-4s

which equals 120 words!

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

and then I guess
6=120x6=720
7=720x7=5040
...and so on


Last edited by The Pook; 02/21/08 01:42 PM.
#173823 - 02/21/08 01:56 PM Re: Complete anagrams in English [Re: The Pook]  
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this too shall pass
well, you could try words with repeated letters -- that would make the task somewhat easier.

-joe (reductio ad absurdum) friday

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