SOLUTION: If any two points determine a line, how many lines are determined by seven points in a plane, no three of which are collinear?

Question 298289: If any two points determine a line, how many lines are determined by seven points in a plane, no three of which are collinear?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If any two points determine a line, how many lines are determined by seven points in a plane, no three of which are collinear?
----------
Each pair of points determines one line.
There are 7C2 = 7*6/1*2 = 21 pairs so 21 lines are determined
=============
Cheers,
Stan H.
RELATED QUESTIONS
How many triangles are determined by 20 points in a plane, no three of which are... (answered by richwmiller)

How many triangles are determined by 20 points if no three of them are in a... (answered by richard1234)

Are the following possible? If so, how? A. For exactly one line to be determined by... (answered by Alan3354)

Are the following possible? If so, how? a. For exactly one line to be determined by... (answered by Alan3354,ikleyn)

There are 10 points A,B... In a plane no three on the same line 1)how many lines are... (answered by KMST)

question:How many lines are determined by 8 points, no 3 of which are collinear? how many (answered by tutorvolunteer)

There are 10 points A, B, C, �in a plane, no three on the same line. i) How many... (answered by stanbon)

How many lines are determined by n points, no three of which are collinear? Thank you (answered by robertb)

Twenty five points no three of which are collinear are given in the plane. How many... (answered by Edwin McCravy)