The answer depends on whether any of the points are collinear: that is, whether they lie on the same line. No matter how many points you have, if they are all collinear you will have only one ray.
If you have N points, the maximum number of rays is attained when no three of them are collinear. This number is N*(N-1)/2.
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the vertex is the point where two rays begin and form and angle
An angle is formed when two rays begin at a common point. The common point is called the vertex of the angle.
angle
The vertex of an angle is the point at which the two rays that form the angle meet.opposite point
common point of two rays or lines, note: rays and lines are the same thing!!