E?

Consider a triangle ABC.

1- We can draw a circle which is a tangent to one side of tiangle (say AB).

2- Draw a circle that intersects at two points on side AB.

3- Pick one of the vertices (say C), use it as a pivot and draw a circle cutting two sides of the triangle (say CB and CA).

4- Draw a circle intersecting only two sides of the triangle (say AB and AC)

5- Pick one of the vertices (say C), use it as a pivot and draw a circle cutting all three sides of the triangle (say CB, CA and AB).

(Remember that one of the vertices is counted as one point)

6- Draw a circle intersecting all sides of the triangle.

I couldn't think of 7. So, will go with (E)

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