You are given six sticks of integral lengths 1, 2, 3, 4, 5 and 6. Using these sticks, can you make a tetrahedron (4-sided, 3-D figure, with a triangle on each side)?
If so, show how. If not, replace any one of the sticks with the smallest stick of integral length greater than 6 that allows you to build such a tetrahedron and show how it can be done.
(In reply to re: Multiple ways (spoiler)
Thanks, Jer. Excellent point, and I stand corrected. Do you need to check all spans, or only the longest? I haven't thought this through.
This makes the problem more than a Difficulty 2, I think.
Edited on January 30, 2014, 1:11 pm