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Question

Consider the 5 points comprising of vertices of a square and the intersection point of its diagonals. Then the number of triangles that can be formed using these points are 


Solution

To form a triangle, 3 points out of 5 can be chosen in 5C3=10 ways. 
But out of these, the three points lying on the 2 diagonals will be collinear. 
102=8 triangles can be formed 

Mathematics

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