Transhumanist
 Senior Boarder
Posts: 70 
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What is the largest set of 4-letter English words such that each word in the set is a letter-permutation of some other word in the set?
E.g. {EAST, EATS, SATE, SEAT, TEAS}.
What is the largest such set of 5-letter English words?
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Transhumanist
Senior Boarder
Posts: 70
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Well, there's the good old set-of-6
[ OPTS, POST, POTS, TOPS, SPOT, STOP ]
which is the most I can manage without resorting to using anythinell, there's the good old set-of-6
[ OPTS, POST, POTS, TOPS, SPOT, STOP ]
which is the most I can manage without resorting to using anything other than my brain 
Dave Jones |
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klaretonor
 Senior Boarder
Posts: 70
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Offhand, I say again offhand, I've always been a rememberer of
SEPTAL PLATES PLEATS PALEST STAPLE PASTEL
which you can find at an anagram site like I did, - that is I didn't know there were that many until I went to an anagram site and typed in 'pleats'
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querty
 Senior Boarder
Posts: 73
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Of course, it all depends on what source(s) one allows to define what qualifies as a word.
For Webster's Third Unabridged, I believe the records sets of letters are:
4 letters: aers or aels or abel (11 words) 5 letters: atles (16 words) 6 letters: alerts (16) 7 letters: stainer (14) 8 letters: uranites (11)
For instance, the 4-letter set yields the words
aers Ares arse Aser ears eras raes rase sare sear sera
Mike Keith Word play, math, music:
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glundby
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Not the question I know, but Triange Relating Integral Altering Alerting Tanglier is a group of six 8-letter words
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saintthomas
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Posts: 82
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PETALS TEPALS
> Not the question I know, but > Triangle > Relating > Integral > Altering > Alerting > Tanglier > is a group of six 8-letter words
http://java.sun.com/docs/books/tutorial/collections/
algorithms/
12: [apers, apres, asper, pares, parse, pears, prase, presa, rapes, reaps, spare, spear] 11: [alerts, alters, artels, estral, laster, ratels, salter, slater, staler, stelar, talers] 10: [least, setal, slate, stale, steal, stela, taels, tales, teals, tesla] 9: [estrin, inerts, insert, inters, niters, nitres, sinter, triens, trines] 9: [capers, crapes, escarp, pacers, parsec, recaps, scrape, secpar, spacer] 9: [anestri, antsier, nastier, ratines, retains, retinas, retsina, stainer, stearin] 9: [palest, palets, pastel, petals, plates, pleats, septal, staple, tepals] 8: [carets, cartes, caster, caters, crates, reacts, recast, traces] 8: [ates, east, eats, etas, sate, seat, seta, teas] 8: [arles, earls, lares, laser, lears, rales, reals, seral] 8: [lapse, leaps, pales, peals, pleas, salep, sepal, spale] 8: [aspers, parses, passer, prases, repass, spares, sparse, spears] 8: [earings, erasing, gainers, reagins, regains, reginas, searing, seringa] 8: [enters, nester, renest, rentes, resent, tenser, ternes, treens] 8: [peris, piers, pries, prise, ripes, speir, spier, spire]
Art Neuendorffer |
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myrrrffs
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Posts: 90
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I have sometimes wondered whether there exists a list of the least permutable English words. That is, does there exist (for example) an eight-letter word from the letters of which no (for example) four-letter words can be constructed? In general, what is the highest value of m and the lowest value of n (less than m) for which an m-letter word exists whose letters will form no n-letter word? I am sure this task must be programmable, but I don't know if anyone has ever bothered.
David Burn London, England
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