Answer:
The number of possible triangles that can be formed is 132 triangles
Step-by-step explanation:
Given that there are 6 points in line a and 4 points on line b
Number of points on line a = 6
Number of points on line b = 4
To form a triangle, firstly we select 2 points from line a and one point from line b as follows;
Number of ways to select 2 points from 6 = ₆C₂ = 15 ways
Number of ways to select 1 points from 4 = ₄C₁ = 4 ways
The number of triangles = 15×4 = 60 triangles
Next we form triangles by selecting 2 points from line b and one point from line a as follows;
Number of ways to select 2 points from 4 = ₄C₂ = 12 ways
Number of ways to select 1 points from 6 = ₆C₁ = 6 ways
The number of triangles = 12×6 = 72 triangles
The total number of triangles = 72 + 60 = 132 triangles.
