BMAD 64 Posted August 11, 2014 Report Share Posted August 11, 2014 On a standard qwerty keyboard, how many "2-letter adjacency words" can be formed? Adjacent implies that the word must be formed by two distinct letters that are next to each other on a keyboard (corners count) Any two letters, for the sake of argument, form a two-letter word. Quote Link to post Share on other sites
0 Solution Perhaps check it again 22 Posted August 12, 2014 Solution Report Share Posted August 12, 2014 (edited) Actually, I'm going to have to amend my answer to the revised answer of: 110 because I left out the obvious dual combinations. ****** Actually, bonanova, your keyboard, I'm sure, does not look quite like that. For instance, the "Q" key is not perfectly adjacent diagonally to the "S" key. And, for instance, the "W" key is not perfectly adjacent diagonally to the "D" key. To go from Q to S in the shortest path, you must pass through either A or W. And to go from W to D in the shortest path, you must pass through either S or E. You just look more closely and you'll see that the top row is not in line with the middle row, I'm sure. Edited August 12, 2014 by Perhaps check it again Quote Link to post Share on other sites
0 bonanova 84 Posted August 11, 2014 Report Share Posted August 11, 2014 Diagonal adjacency permitted? Only A-Z characters? What does "corners count" mean? Quote Link to post Share on other sites
0 BMAD 64 Posted August 11, 2014 Author Report Share Posted August 11, 2014 Diagonal adjacency permitted? Only A-Z characters? What does "corners count" mean? corners count means that diagonal adjacency is permitted. And yes, only letter characters. Quote Link to post Share on other sites
0 Perhaps check it again 22 Posted August 12, 2014 Report Share Posted August 12, 2014 bottom row --> 6 middle row --> 8 top row -------> 9 bottom row to middle row --> 14 middle row to top row -------> 18 -------------------------------------------- 6 + 8 + 9 + 14 + 18 = 55 Answer: 55 Quote Link to post Share on other sites
0 bonanova 84 Posted August 12, 2014 Report Share Posted August 12, 2014 126My keyboard looks like this.q w e r t y u i o p a s d f g h j k l z x c v b n m Because of the offset of the bottom row from the other two, there are only diagonal pairs. Between the top and middle rows there are orthogonal and diagonal pairs. Thus:top row (18): qw we er rt ty yu ui io op po oi iu uy yt tr re ew wq top-middle row (52): qa qs aq aw wa ws wd sq sw se es ed ef dw de dr rd rf rg fe fr ft tf tg th gr gt gy yg yh yj ht hy hu uh uj uk jy ju ji ij ik il ku ki ko ok ol li lo lp pl middle row (16): as sd df fg gh hj jk kl lk kj jh hg gf fd ds sa middle- bottom row (28): az za zs sz sx xs xd dx dc cd cf fc fv vf vg gv gb bg bh hb hn nh nj jn jm mj mk km bottom row (12): zx xc cv vb bn nm mn nb bv vc cx xz Quote Link to post Share on other sites
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BMAD 64
On a standard qwerty keyboard, how many "2-letter adjacency words" can be formed?
Adjacent implies that the word must be formed by two distinct letters that are next to each other on a keyboard (corners count)
Any two letters, for the sake of argument, form a two-letter word.
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