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Don't Talk About Yourself (Posted on 2004-02-01) Difficulty: 3 of 5
This sentence has three As, two Cs, two Ds, nineteen Es, six Fs, two Gs, five Hs, ten Is, two Ls, twelve Ns, nine Os, five Rs, twenty six Ss, sixteen Ts, four Us, four Vs, eight Ws, four Xs, and two Ys.

How many other similar self-referential statements can you come up with (there exist a relatively small finite number of possibilities)?

  Submitted by DJ    
Rating: 3.7778 (9 votes)
Solution: (Hide)
There are at least 18 ways to do it:
  1. This sentence has three As, two Cs, two Ds, nineteen Es, six Fs, two Gs, five Hs, ten Is, two Ls, twelve Ns, nine Os, five Rs, twenty six Ss, sixteen Ts, four Us, four Vs, eight Ws, four Xs, and two Ys.

  2. This sentence has three As, two Cs, two Ds, twenty eight Es, four Fs, four Gs, ten Hs, eight Is, two Ls, eleven Ns, six Os, seven Rs, twenty seven Ss, eighteen Ts, three Us, five Vs, six Ws, three Xs, and three Ys.

  3. This sentence has three As, two Cs, two Ds, twenty six Es, three Fs, three Gs, eleven Hs, eight Is, two Ls, thirteen Ns, eight Os, nine Rs, twenty four Ss, twenty three Ts, three Us, two Vs, nine Ws, two Xs, and four Ys.

  4. This sentence has three As, one B, two Cs, two Ds, thirty Es, five Fs, three Gs, ten Hs, seven Is, one J, one K, two Ls, one M, fourteen Ns, twelve Os, one P, eight Rs, twenty three Ss, twenty two Ts, three Us, five Vs, eight Ws, and four Ys.

  5. This sentence has three As, one B, two Cs, two Ds, thirty Es, three Fs, one G, seven Hs, nine Is, one J, one K, two Ls, one M, nineteen Ns, eleven Os, six Rs, twenty seven Ss, sixteen Ts, two Us, five Vs, six Ws, four Xs, and three Ys.

  6. This sentence has three As, one B, two Cs, two Ds, thirty one Es, four Fs, two Gs, nine Hs, nine Is, one J, one K, one L, one M, twenty three Ns, sixteen Os, one P, one Q, nine Rs, twenty three Ss, eighteen Ts, four Us, one V, six Ws, three Xs, and four Ys.

  7. This sentence has three As, one B, two Cs, two Ds, thirty one Es, seven Fs, one G, six Hs, seven Is, one J, one K, one L, one M, twenty Ns, fourteen Os, one P, seven Rs, twenty seven Ss, fifteen Ts, four Us, six Vs, five Ws, three Xs, and four Ys.

  8. This sentence has three As, one B, two Cs, two Ds, thirty six Es, three Fs, three Gs, eleven Hs, nine Is, one J, one K, three Ls, one M, eighteen Ns, twelve Os, one P, one Q, eight Rs, twenty six Ss, twenty Ts, two Us, five Vs, seven Ws, three Xs, four Ys, and one Z.

  9. This sentence has three As, one B, two Cs, two Ds, thirty two Es, three Fs, one G, seven Hs, seven Is, one J, one K, one L, nineteen Ns, ten Os, five Rs, twenty five Ss, seventeen Ts, seven Vs, six Ws, two Xs, and three Ys.

  10. This sentence has three As, one B, two Cs, two Ds, thirty two Es, three Fs, two Gs, eleven Hs, seven Is, one J, one K, two Ls, one M, sixteen Ns, thirteen Os, one P, ten Rs, twenty six Ss, twenty four Ts, three Us, three Vs, eight Ws, three Xs, and four Ys.

  11. This sentence has three As, one B, two Cs, two Ds, twenty five Es, eight Fs, two Gs, six Hs, nine Is, one J, one K, two Ls, one M, fifteen Ns, twelve Os, five Rs, twenty four Ss, twenty Ts, three Us, five Vs, ten Ws, two Xs, and four Ys.

  12. This sentence has three As, one B, two Cs, two Ds, twenty five Es, five Fs, one G, seven Hs, thirteen Is, one J, thirteen Ns, six Os, five Rs, twenty six Ss, sixteen Ts, six Vs, five Ws, six Xs, and three Ys.

  13. This sentence has three As, one B, two Cs, two Ds, twenty four Es, five Fs, one G, six Hs, ten Is, thirteen Ns, seven Os, five Rs, twenty seven Ss, sixteen Ts, two Us, six Vs, six Ws, five Xs, and three Ys.

  14. This sentence has three As, one B, two Cs, two Ds, twenty nine Es, five Fs, one G, six Hs, ten Is, one J, one K, one L, one M, twenty one Ns, thirteen Os, one P, six Rs, twenty six Ss, seventeen Ts, three Us, four Vs, six Ws, five Xs, and four Ys.

  15. This sentence has three As, one B, two Cs, two Ds, twenty nine Es, seven Fs, two Gs, five Hs, nine Is, one J, one K, one L, one M, twenty one Ns, fourteen Os, five Rs, twenty five Ss, seventeen Ts, four Us, six Vs, eight Ws, two Xs, and four Ys.

  16. This sentence has three As, one B, two Cs, two Ds, twenty nine Es, two Fs, three Gs, nine Hs, eight Is, sixteen Ns, seven Os, six Rs, twenty seven Ss, eighteen Ts, two Us, four Vs, seven Ws, three Xs, and three Ys.

  17. This sentence has three As, one B, two Cs, two Ds, twenty six Es, five Fs, one G, five Hs, ten Is, one J, one K, one L, sixteen Ns, ten Os, four Rs, twenty seven Ss, sixteen Ts, two Us, five Vs, six Ws, six Xs, and three Ys.

  18. This sentence has three As, one B, two Cs, two Ds, twenty six Es, five Fs, three Gs, nine Hs, eleven Is, one J, two Ls, thirteen Ns, eight Os, six Rs, twenty five Ss, twenty Ts, two Us, five Vs, eight Ws, three Xs, and four Ys.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle Answer K Sengupta2023-09-06 08:15:49
Infinite number of similar statements.Jer2014-05-02 16:08:16
Some ThoughtsAlso not acceptable...Federico Kereki2004-02-02 08:59:13
Hints/TipsSimilarityDJ2004-02-02 07:44:57
Some Thoughtsre: This probably doesn't count either.//gamerAdy TZIDON2004-02-02 01:48:06
re: This probably doesn't count either (with an and)Gamer2004-02-01 20:09:25
SolutionThis probably doesn't count either.Gamer2004-02-01 20:07:33
re(4): Two sentencessGamer2004-02-01 19:57:55
HmmmmSam2004-02-01 17:10:51
re(3): Two sentencessSilverKnight2004-02-01 16:46:23
re(2): Two sentencessPenny2004-02-01 16:04:37
re: Two sentencessGamer2004-02-01 14:38:08
SolutionTwo sentencessCaptain Paradox2004-02-01 13:48:02
Solutionsee: METAMAGICAL THEMASAdy TZIDON2004-02-01 12:42:49
No SubjectSam2004-02-01 12:20:21
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