>>1150539621:
>10If we start with the center square there are only 2 possibilities for that. Then we pick an edge (not corner) square and that gives us another 6. Then we select a corner and we only get 2 more possibilities from that.
22:
>21Initially this seemed like too much work but I think I've got them all in 21 possibilities. I would like to see a full table drawn for this one because I think most of you getting 23 or 24 as the answer counted things twice.
23:
>22Case a: Both squares on the same side. 2
+
Case b: Each square on a side of its own
Case b.1: Neighboring sides
Case b.2: Opposite sides
I think we can treat b.1 and b.2 the same way so we only have to count once and then just double our result to account for both.
So with two 2 * 2 grids we set the first corner on one grid and count 4 possible partners on the other grid. For the second corner we only find 3 and so on. 10 possibilities and this is the number we need to multiply by 2 because it makes a difference if the second side is neighboring or on the back. 10 * 2 + 2 gives us 22 possibilities.
