Solveeit Logo

Question

Question: There are 12 points in a plane in which 6 are collinear. Number of different straight lines that can...

There are 12 points in a plane in which 6 are collinear. Number of different straight lines that can be drawn by joining them is

A

51

B

52

C

132

D

18

Answer

52

Explanation

Solution

12C26C2+1=6615+1=5212C_{2} -^{6}C_{2} + 1 = 66 - 15 + 1 = 52

(One is added, as from 6 collinear points one line can be drawn).