3
10!
Just one plane.
If the points are collinear, the number of possible planes is infinite. If the points are not collinear, the number of possible planes is ' 1 '.
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).
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.
10!
Just one plane.
If the points are collinear, the number of possible planes is infinite. If the points are not collinear, the number of possible planes is ' 1 '.
3 non-collinear points define one plane.
You can have an infinite number of planes passing through three collinear points.
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).
Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.
infinite
Only one if they are non-collinear. An infinite number if they are collinear.
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.
exactly nine planes! * * * * * I would have said 4 - corresponding to the four faces of a tetrahedron. Of course, non-collinear does not mean non-coplanar so all four points could be in the same single plane!
Exactly one.