Find the number of triangles that can be formed by joining the 6 non-collinear points on a plane.

Sure, here is the step by step solution:

Step 1: Understand the problem We are given 6 non-collinear points on a plane. We need to find out how many triangles can be formed by joining these points.

Step 2: Use the combination formula The number of triangles that can be formed by joining n points taken 3 at a time is given by the combination formula nC3.

Step 3: Substitute the given values into the formula Substitute n = 6 into the formula to get 6C3.

Step 4: Calculate the result 6C3 = 6! / (3!(6-3)!) = (654) / (321) = 20

So, 20 triangles can be formed by joining the 6 non-collinear points on a plane.