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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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Q: How do you find the number of rays given the number of point?
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