Find the number of line segment possible from the given points such that no three points are colliner
(i)10
(ii)12
(iii)9
Answers
Step-by-step explanation:
How many line segments can be drawn through six points such that no three of them are collinear?
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4 Answers

Sanket Savla, Senior Consultant at Capgemini India (2017-present)
Answered September 30, 2018
Originally Answered: How many line segments can be drawn through six ponts such that no three are colliners?
what you meant was to find number of line segments can be drawn passing through all the 6 points at a time.
But, if you meant to ask how many line segments can be drawn through any 2 points out of 6 points such that none are colinear, then you can simply arrange the points in a form of an Hexagon and draw lines between each points.
So, let’s name the points A, B, C, D, E & F.
Line segments that can be drawn would be
AB
AC
AD
AE
AF
BC
BD
BE
BF
CD
CE
CF
DE
DF
EF
i.e. 15 line segments.