Rätsel über Rätsel (4): ABCtje
(Published on 14. October 2010, 23:37 by uvo)
In this series, there won't be any classical puzzles to solve, instead of that some mathematical questions about the respective puzzle type will be asked.
Part 4: ABCtje
Assign numbers from 1 to 26 to the letters from A to Z, so that each number is used exactly once. For some given words, the sums of all numbers assigned to their letters are known; if any word contains some letter more than once, that letter is counted more than once accordingly.
An example puzzle.
Instead of the complete alphabet, fewer numbers may be used. Consider the following situations:
- Four letters and numbers from 1 to 4
- Six letters and numbers from 1 to 6
- Eight letters and numbers from 1 to 8
- Ten letters and numbers from 1 to 10
What is for each case the minimum number of "words" (any combinations of letters are allowed, not only words from some languages) that is needed to make a puzzle with a unique solution?
Solution code: The four numbers in ascending order.
Last changed on on 19. October 2010, 14:58
Solved by ibag, Javier Rebottaro, Hausigel, saskia-daniela, zhergan, Mitchsa, Richard, Luigi, pokerke, pin7guin, pwahs, Antarez, Alex, martin1456, Realshaggy, Rollie, Skinny Norris, Le Ahcim, flooser, lupo, ... SilBer, Mody, Joo M.Y, Joe Average, sf2l, NikolaZ, AnnaTh, tuace, jessica6, Mathi, Carolin, amitsowani, athin, misko, skywalker, hirassy, CJK, Raistlen, Jordan Timm, Torvelo, Lara Croft, Tonta
Comments
on 15. October 2010, 01:05 by zhergan
Nice puzzle:) Thanks Ulrich!
