If 2 points determine a line, then a line contains infinitely many planes.
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
Given a line, there are an infinite number of different planes that it lies in.
Exactly one.
Only one plane can contain three specific points.
A maximum of one plane can contain all three points, provided that the points are not collinear. If the three points are collinear, they lie on a single straight line, and technically, an infinite number of planes can be drawn to contain that line. However, in general, if the three points are distinct and non-collinear, they define a unique plane.
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.
Given a line, there are an infinite number of different planes that it lies in.
There are no planes containing any number of given points. Two points not the same define a line. Three points not in a line define a plane. For four or more points to lie in the same plane, three can be arbitrary but not on the same line, but the fourth (and so on) points must lie in that same plane.
One.
Exactly one.
1, exactly 1 plane will
Only one plane can contain three specific points.
1
1
A maximum of one plane can contain all three points, provided that the points are not collinear. If the three points are collinear, they lie on a single straight line, and technically, an infinite number of planes can be drawn to contain that line. However, in general, if the three points are distinct and non-collinear, they define a unique plane.
There will always be a single plane through all three points.