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FIGURE it out ! (Posted on 2004-09-10)

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.)
How many different squares?

No Solution Yet Submitted by SilverKnight

Rating: 3.3333 (3 votes)

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Puzzle Thoughts

Comment 13 of 13 |

(i)There are n/3*(n^2 + 2) distinct triangles.

(Ii)there are (n^12 + n^9 + 2n^3)/4 distinct unique squares.

Edited on February 21, 2023, 10:53 pm

Posted by K Sengupta on 2023-02-21 22:45:11

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