m06 Q 37

Question

There are 6 points on the plain. Any 3 points of these 6 don't lie on the same line. How many unique triangles can be drawn using these 6 points as vertices?

5
10
20
30
60

Why isn't the answer 60. We can choose 1 vertice and there are 5C2 = 10 ways to 2 choose the remain 2 vertices. 10*6 choices = 60 (10 choices each for each vertex)?

deeptikachalia · Answer

I reached the same conclusion...Hmm what is the answer then?

MBAUncle · Answer

First of all, please put the OA in stealth form in the original post so everybody is aware of it.

Since the stem says that any 3 points are not in the same line, I simply used simple combination:
C6,3 = 20 triangles

m06 Q 37

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