Question

Plane consists of 25 straight lines, no two of them being parallel and no three of them being concurrent. Determine the number of points of intersection.

Answer 1

Answer:

300

Step-by-step explanation:

Hi,

Given that a plane consists of 25 straight lines such that no 2 of them are

concurrent,

A point is an intersection of 2 lines(no 3rd line passes through the point

,since given they are non concurrent).

So, finding the number of points of intersection is equivalent to finding the

number of pairs of straight lines.

Out of 25 straight line a pair of lines can be selected in ²⁵C₂ ways

= 300

Hence, the number of points of intersection are 300.

Hope, it helps !