20210405, 16:44  #12  
Oct 2017
110_{10} Posts 
Quote:
n=8, k=4=number of spins. When the player chooses a number q and makes 4 spins, he gets a combination of 4 different numbers between 1 and 8. When he chooses another q, he gets perhaps another combination  or the same combination. There are (8 choose 4) = 70 such combinations. All are reachable, if you ckeck enough values for q. But: Example n=9 und k=4. There are 126 possible quintetts of values. But this time, only 123 of these values are reachable  (1,2,5,8,9) and (2,3,4,5,8) and (2,5,6,7,8) are not reachable. Just for fun I checked 1<=q<=10000000  no chance . These three combinations are "unwinnable sets". 

20210405, 16:55  #13 
Oct 2017
2×5×11 Posts 
In the challenge sometimes k is the number of spins and sometimes k is the number of elements in the remaining sets. For the number of possibilities that doesn‘t make a difference, because (n choose k) = (n choose (nk)).
For comparing: If my code works correctly, to get the 123 in example 2 I need more than 400 as limit for q. 
20210406, 19:13  #14  
"Kebbaj Reda"
May 2018
Casablanca, Morocco
81_{10} Posts 
Quote:
"70 combinations for the 8". "126 possible quintetts of values" (1,2,5,8,9) (2,3,4,5,8) (2,5,6,7,8). Not reachable. Now i am in the process of resolving the question. ! .. Thanks. 

20210407, 05:20  #15  
Oct 2017
2·5·11 Posts 
Quote:
I admire the puzzlemasters for their ideas. 

20210407, 08:01  #16  
"Kebbaj Reda"
May 2018
Casablanca, Morocco
3^{4} Posts 
Quote:
This time it's google translate which played a trick on me. By translating into French. Wrong translation: "he will not be able to win exactly this set after nk spins. "il ne pourra pas gagner exactement cet ensemble après nk tours" nk: 9 * 5 = 45 turns that blocked me. And I did not reread the English version. ( je sents mieux les choses en Français). I know that if I block the first day of the puzzle, it's gone for a total block. Last fiddled with by Kebbaj on 20210407 at 08:11 

20210409, 23:49  #17 
"Kebbaj Reda"
May 2018
Casablanca, Morocco
51_{16} Posts 
visualization of example
Last fiddled with by Kebbaj on 20210409 at 23:58 
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