It is always possible to draw a circle passing through ______ non-collinear points in a plane.

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A circle can be uniquely determined by three non-collinear points in a plane. This is because three points that are not on the same straight line define a unique circle passing through all three. For more than three points, it is not always possible to draw a single circle passing through all of them unless they lie on the same circle (are concyclic). Hence, the correct answer is 3.

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