There are `n` straight lines in a plane in which no two are parallel and no three pass through the same point. Their points of intersection are joined. Show that the number of fresh lines thus introduced is `1/8n(n-1)(n-2)(n-3)`

There are 10 straight lines in a plane no two of which are parallel and no three are concurrent.The points of intersection are joined,then the number of fresh lines formed are

If there are six straight lines in a plane, no two of which are parallel and no three of which pass through the same point, then find the number of points in which these lines intersect.

There are n straight lines in a plane, no two of which are parallel and no three of which pass through the same point. How many additional lines can be generated by means of point of intersections of the given lines.

There are 10 points on a plane of which no three points are collinear.If lines are formed joining these points,find the maximum points of intersection of these lines.

25 lines are drawn in a plane. Such that no two of them are parallel and no three of them are concurrent. The number of points in which these lines intersect, is:

There are 2n points in a plane in which m are collinear. Number of quadrilateral formed by joining these lines

Six points in a plane be joined in all ppossible ways by indefinite straight lines,and if no two of them be coincident or parallel,and no three passes through the same point.(with the expectation of the original 6).The number of distinct points of intersection is equal to