Java Set Game Algorithm

Ok, so I will be making a Set game http://en.wikipedia.org/wiki/Set_(game) <--- (Add a ) to your browser thingy, sometimes it for some reason is excluded..) in Java, but I've realized a simple flaw..
I have no idea how I should identify the sets.
What I want the program to do is using the fact that there are 3 shapes, colors, shades, and 3 numbers on ea card, The program would print out all possible combinations for 81 cards (aka the whole deck). There are 1080 combos, I used the skill of mathematics to solve that. So I need someone to find a clever method for printing out all the possible sets..


This is not my homework, just something I'm doing in my spare time.


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