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 FIGURE it out ! (Posted on 2004-09-10)
1. With an unlimited supply of toothpicks of n different colors, how many different triangles can be formed on a flat surface, using three toothpicks for the sides of each triangle?
(Reflections are considered different, but rotations are not.)

2. How many different squares?

 No Solution Yet Submitted by SilverKnight Rating: 3.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: Solution for Triangles - oops =) | Comment 4 of 12 |
(In reply to Solution for Triangles by nikki)

"T = n + n*(n-1) + 1/3*n*(n-1)*(n-2) = n^3 + 2n = n/3*(n^2 + 2)"

I some how lost my 1/3 factor, and then it appeared again.  If that confused you, I apologize.  It should read:

T = n + n*(n-1) + 1/3*n*(n-1)*(n-2) = 1/3(n^3 + 2n) = n/3*(n^2 + 2)

 Posted by nikki on 2004-09-10 15:22:47
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