Placing sets in a board

Arrangements, combinations and permutations, probability, ...
TheEvil
Posts: 84
Joined: Sun Nov 13, 2011 10:38 am
Location: Szeged, Hungary

Re: Placing sets in a board

The union will never be empty. The meet of subsets could be empty.

My solution:

Code: Select all

ABCDEFGHIJ
JABCDEFGHI
IJABCDEFGH
...

and so on, where A={1,2,3,4,5}, B={6,7,8,9,10}, ...

TheEvil
Posts: 84
Joined: Sun Nov 13, 2011 10:38 am
Location: Szeged, Hungary

Re: Placing sets in a board

My solution doesn't violate any of your rules. You should change the second rule to "the meet of any two subsuts on the board has to be empty".