How many triangles? The
Problem: Suppose that you have six rods, of length 1,2,3,4,5,6.
How many different triangles can you form from the rods?
Extend the result to 7, 8, 9... and, if you can, to 2n
(any even number) and 2n+1 (any
odd number).
Hints: 1.
When will a set of three rods not
produce a triangle?
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