10 March 2010
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Try This!

Can you find all 24 ways of connecting two eight-studed LEGO bricks together?

Answer: If one fixes the position of the lower LEGO brick, the second can be put on top in 46 ways. However, only 2 combinations here are unique. All of the other combinations have doubles which can be achieved by rotating the lower brick 180 degrees so we see that the number of different combinations of two LEGO bricks of the considered size is

2+44/2=24

 
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