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Problematic Pathways (Posted on 2004-06-08) Difficulty: 3 of 5
There is a 2 inch grid cube made up of 8 wire-frame cubes, each with wire where their edges should be and space in their middle and faces.

The quickest way to get from one vertex to the opposite vertex is 6 inches. How many such paths are there?

See The Solution Submitted by Gamer    
Rating: 2.6667 (3 votes)

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Nothing new but want to add 2 cents | Comment 7 of 8 |

To generalize charlie's formula

For wire frame of dimensions axbxc

The formula is

(a+b+c)!/(a!b!c!)

This can be extended or contracted to more or fewer dimensions as well.

-Jer


  Posted by Jer on 2004-06-08 12:18:29
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