There are 10 points in a plane; 6 of these are collinear

MATHEMATICS · Single correct · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations

Problem

There are 10 points in a plane; 6 of these are collinear. If

N

is the number of triangles formed by joining these points, then (1)

N > 190

(2)

N \le 100

(3)

100 < N \le 140

(4)

140 < N \le 190