perplexus.info :: Word Problems : Double Derangement Anagrams

Double Derangement Anagrams (Posted on 2007-12-05)

Many words have two or more anagrams, like 'tame' has anagrams of 'mate' and 'meat'.

The pair 'tame' and 'meat' are not only anagrams but are derangements of each other as well, having no letter occur in the same spot in both words.

Can you find a set of three words which are all derangements of each other?

Submitted by Brian Smith

Rating: 4.0000 (1 votes)

Solution: (Hide)

The first set of three words I came up with were: 'tales', 'least', and 'steal'.

Several people came up with three letter words: 'eat', 'ate', and 'tea'.

Penny found some ten letter solutions here.

Charlie wrote a program to parse a dictionary file and came up with a lot more here.

At the end of Charlie's post, he notes a single occurance of a set of four derangement anagrams:
'estop', 'pesto', 'stope', and 'topes'.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Some Selected Puzzle Answers	K Sengupta	2022-03-19 01:38:17
Solution	Penny	2007-12-07 06:28:30
re(2): Additional solutions	Dej Mar	2007-12-06 11:29:15
re: Additional solutions	Charlie	2007-12-06 09:41:37
Solution	Claire	2007-12-06 06:27:44
Additional solutions	Dej Mar	2007-12-05 21:48:15
computer solutions	Charlie	2007-12-05 16:30:43
re: solution	s	2007-12-05 16:25:23
solution	s	2007-12-05 16:22:43
Solution	s	2007-12-05 16:12:08
Close to the example.	Leming	2007-12-05 14:24:35

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