What is the greatest number of planes determined using any three of the points A, B, C, and D if no three points are collinear?

Question

It is a geometry word problem 

Answer 1

Since no 3 points are collinear, we need to count all the possibilities where 2 points are collinear

 

That gives us the following distinct lines:  AB, AC, AD, BC, BD, CD

 

Thus there are 6 planes