The Points and Triangles problem
Probability
Level
3
how many triangles can be formed by 10 points of which 4 are collinear?
The answer is 116.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
The solution is 116, we just have to make the combinations of 3 points (possible triangle) of the set of 10 points and subtract the combinations of 3 points (not triangle) from the set of 4 collinear points since we can not form triangles between collinear points. the formula is: