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Just one plane.
The answer depends on the number of point. One point - as the question states - cannot be non-collinear. Any two points are always collinear. But three or more points will define a plane. If four points are non-coplanar, they will define four planes (as in a tetrahedron).
Exactly one.
Exactly one.
If the points are collinear, that means there's only one straight line. An infinite number of different planes can be drawn that contain one straight line.