Triangles can have 1 obtuse angle, 1 right angle, and 2-3 acute angles.
The angles are integers between 0 and 180 but not including 0 and 180.
How many triangles are there as far as angles and how many of them are obtuse, how many of them are right, and how many of them are acute?
You can do similar things with other polygons as long as you have the maximum acute, right, obtuse, and reflex angles for it.
Is this a sum of permutations or a sum of combinations and how would I go about solving for total triangles, fraction of which are acute, fraction of which are right, and fraction of which are obtuse?