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 by Joel)

Joel,
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