7 8-Stellige Zahlen gesucht?
Guten Tag
Ich suche eine Möglichkeit 7 8-stellige ( A B C D E F G H) Zahlen zu finden die folgenden Bedingungen erfüllen:
- Nur die Ziffer 1-8
- jede ziffer genau einmal in jeder Zahl
- jede Ziffer min 3 mal und max 4 mal auf den ersten vier Stellen ( A B C D )
- jede Ziffer min 3 mal und max 4 mal auf den letzten vier Stellen ( E F G H)
- die Ziffer 1 nicht an der ersten Stelle
- die Ziffer 2 nicht an der zweiten Stelle usw bis
- die Ziffer 8 nicht an der letzten Stelle
mfg
(1 votes)
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Sounds interesting; it reminds me of the ladies’ problem (see Wikipedia), but it is a bit different.
My first question: are you sure there are 7 such numbers?
And the second question: what do you need these numbers?
To find a solution, I would write a program – but it costs too much time for me.
My first answer: No I am not sure
My second answer: We want to play a tournament series.
Eight players – seven game days
Mode: Quarterfinals – Semifinals – Finals
Each player should compete exactly once against any other player in a quarter final
Each player should have the opportunity to play against any other player in a semifinal.
Each player should have the opportunity to stand against any other player in the finale exactly four times.
Every eight-digit number is a gambling day
The positions 1+2, 3+4, 5+6 and 7+8 are the quarter final pairs
winner 1+2 semi-finals against winner 3+4 (12+34)
winner 5+6 semi-finals against winner 7+8 (56+78)
winner 12+34 Final against winner 56+78
Either you write a little program or do it manually, like this: