there are 25 points on a plane of which 7 are collinear.how many triangles can be formed
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Answer:
The number of triangles form is : 2265
Step-by-step explanation:
Hey Mate,
Triangle has 3 side , So its take 3 Points.
The total number of ways it can be done among 25 points
=> ²⁵C₃
But,
Seven points are collinear and So that won't contribute to a triangle.
If all of the 3 Points are chosen from these 7 vertices as they form a line not a triangle.
So we need to subtract that.
So the number of triangles form is :
=> ²⁵C₃ - ⁷C₃
=> 2265
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