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Phone Keys (Posted on 2021-11-11) Difficulty: 3 of 5
There are 8 keys on a standard telephone that have letters associated with them. Consider Q included with P, R and S; and Z with W, X and Y.

  1   2   3 
     ABC DEF
     
  4   5   6 
 GHI JKL MNO
 
  7   8   9 
 PQRS TUV WXYZ
  
    *   0   #   

How many 8-letter words can you find that use each of these 8 keys exactly once? Using the concept, the 3-letter word KEY would be represented by 539.

See The Solution Submitted by Charlie    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
soln | Comment 1 of 2
I got 47. Clearly it depends on how mongrel a dictionary you care to use. I used twl06+sowpods. Program is here. Keypunch, indeed!

    1 ADROITLY

    2 BLINTZES

    3 BLOWIEST

    4 CHUMLEYS

    5 CRYOLITE

    6 DICOTYLS

    7 DILATORY

    8 ENTHALPY

    9 EPICOTYL

   10 FILATORY

   11 FOXTAILS

   12 GEALOUSY

   13 GEOLATRY

   14 GUNLAYER

   15 GUNWALES

   16 HAYLOFTS

   17 HECTORLY

   18 IDOLATRY

   19 INTERLAY

   20 JAROVIZE

   21 KEYPUNCH

   22 KNITWEAR

   23 KYANITES

   24 LAUWINES

   25 LAWNIEST

   26 LAYTIMES

   27 LIFTBOYS

   28 LIPOCYTE

   29 LYNCHETS

   30 MAWKIEST

   31 NAYTHLES

   32 PENALITY

   33 PLAYTIME

   34 SCOLYTID

   35 STEAMILY

   36 TALEYSIM

   37 TENSIBLY

   38 TRIAZOLE

   39 TWANGLER

   40 TWANGLES

   41 TWANKIES

   42 UNEASILY

   43 UNFAIRLY

   44 UNFLASHY

   45 VALORIZE

   46 WANKIEST

   47 WATERLOG

lord@rabbit 12485 % 


  Posted by Steven Lord on 2021-11-11 11:57:41
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