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For "multi-Wordle" games like Quordle and Octordle, it's nice to have an "opening book" of non-overlapping words that cover the most common letters.

I have a few three word sets that do well in Quordle, but Octordle almost always requires another clue and I'm having trouble composing a four word set.

The set should use all of {ACDEGHILNORSTUY} plus any 5 of {BFJKMPVW} (i.e. not {QXZ}).

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  • $\begingroup$ Should the set to be formed be a five word set? $\endgroup$
    – TLE on test 77
    Commented Mar 5 at 13:40
  • $\begingroup$ For 5-word sets, see this question $\endgroup$
    – Jaap Scherphuis
    Commented Mar 5 at 14:13

2 Answers 2

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By modifying the approach in my answer here, I found thousands of solutions, including:

dormy fling jaups vetch

You can also make "fetch" happen:

fetch groks laund wimpy

And $15$ with two particularly relevant words fixed:

 cheat flump vying words
 cheat flimp gunky words
 cheat flung jimpy words
 cheat fling jumpy words
 cheat flunk pigmy words
 bumpy cheat fling words
 blunk cheat pigmy words
 cheat jumby pling words
 blunk cheat gimpy words
 cheat flunk gimpy words
 cheat plumb vying words
 bingy cheat flump words
 cheat fling jumby words
 bungy cheat flimp words
 blimp cheat gunky words

Explicitly, the modifications are:

  • Restrict word.list to five-letter words that do not contain q, x, or z.
  • Change the $3$ to $4$ in the equality constraint.
  • Fix $y_\ell=1$ for the $15$ required letters.
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I'm sure that a computer search will turn out many answers, but I had a go by hand and found the following set of four words:

chump
knows
girly
fated or bated

And here are three others:

champ joked rusty fling
clamp brown gusty hiked
black fight pervy sound

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