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Since any two point must be collinear and must, therefore, define a line, the answer is 5C2, the number of combinations of two [points] out of five. This is 5*4/(2*1) = 10

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Q: What is the greatest number of lines determined by five points not three of which are collinear?
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Related questions

What is the greatest number of planes that can pass throughg 3 collinear points?

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 '.


What is the greatest number of line segments determined by six coplanar points when no three are collinear?

6*5/2 = 15.


The greatest number of planes that can pass through three collinear points?

You can have an infinite number of planes passing through three collinear points.


How many different lines are determined by 3 non collinear points?

Any three non-collinear points will define a single plane. A plane is composed of an infinite number of distinct lines.


How many planes are determined by 5 points three are not collinear?

10!


How many different lines are determined by three non-collinear points?

3


If points S O and N are collinear how many lines do they determined?

3


How many planes are determined by 5 noncoplanar points 3 of which are collinear?

3


What is the greatest number of planes that can pass through three collinear points?

The points are collinear, and there is an infinite number of planes that contain a given line. A plane containing the line can be rotated about the line by any number of degrees to form an unlimited number of other planes.If, on the other hand, the points are not collinear, then the plane has no wriggle room: it is stuck fast in one place - there can be only one plane containing all the points. Provided they are non-colinear, three points will define a plane.


Points A B and C are collinear How many lines are determined by A B and C?

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How many planes are determined by three non-collinear points?

Just one plane.


What is collinear and non collinear points?

Collinear pointsPoints that lie on the same line are called collinear points. If there is no line on which all of the points lie, then they are non collinear points.