Imagine you have a 4 x 2 blue lego, a 4 x 2 red lego and a 2 x 2 yellow lego. How many ways, excluding rotations, can you put the legos together (you must use all the pieces)?
(In reply to Proposed solution
At this point I must congratulate you on a quite comprehensive dissertation.
I haven't the immediate time to delve into your claims so please forgive me when I ask:
Have you considered situations where only one peg forms the interlock between two blocks?
Posted by brianjn
on 2006-10-07 09:39:15