Question

There are 20 Non-collinear points in a plane. How many (i.t straight lines

(ii) traingles can be drawn by joining these points ?

Answer 1

ii) is the best answer

Answer 2

Answer: There are 190 lines and 1140 triangles can be drawn by joining these points.

Step-by-step explanation:

Since we have given that

Number of non collinear points = 20

Number of points needed to draw a line = 2

Number of points needed to draw a triangle = 3

1) Number of straight lines can be drawn is given by

$^{20}C_2\\\\=190\ lines$

2) Number of triangles can be drawn is given by

$^{20}C_3\\\\=1140\ triangles.$

Hence, there are 190 lines and 1140 triangles can be drawn by joining these points.