Given p points in a plane, no three of which are collinear q of these Points, which are in the same straight line. Determine the number of (I) straight lines

If 7 points out of 12 are in the same straight line, then the number of triangles formed is :

There are 10 points in a plane out of these points no three are in the same straight line except 4 points which are collinear. How many (i) straight lines (ii) trian-gles (iii) quadrilateral, by joining them?

Statement-1: There are pge8 points in space no four of which are in the same with exception of q ge3 points which are in the same plane, then the number of planes each containing three points is .^(p)C_(3)-.^(q)C_(3) . Statement-2: 3 non-collinear points alwasy determine unique plane.

There are 15 points in a plane, no three of which are collinear. Find the number of triangles formed by joining them.

Number of triangles formed by joining 12 points, 7 of which are in the same straight line, is :

There are 15 points in a plane, no three of which are in a st. line, except 6, all of which are in a st. line. The number of st. lines, which can be drawn by joining them is :

Out of 18 points in a plane, no three are in the same straight line except 5 point which are collinear. Find the number of lines that can be formed by joining them?

There are 10 points in a plane of which no three points are collinear and four points are concyclic. The number of different circles that can be drawn through at least three points of these points is