Study of computation of number of lines from set of collinear and non-collinear points in a given space

Abstract

Using probability or manual calculation it is possible to compute the total number of lines that can be formed, from a given number of points in a space, considering various possibilities like some points are collinear, some are non-collinear or they form particular shapes.This paper explains a straight forward substitution formula method, which is derived, where the same result is achieved by plugging in the key factors.The direct formula method not only increases the accuracy of the computation but also saves time and presents for an infinite set of possibilities from a given spatial plane of points.The paper further investigates the various other possibilities of points and line, like a given set of points representing a square or rectangle, or other composite shapes.