Permutations And Combinations Question 64

Question: There are $ 16 $ points in a plane out of which 6 are collinear, then how many lines can be drawn by joining these points [RPET 1986; MP PET 1987]

Options:

A) 106

B) 105

C) 60

D) 55

Show Answer

Answer:

Correct Answer: A

Solution:

  • The number of lines are $ ^{16}C_2{{-}^{6}}C_2+1 $ $ =120-15+1=106 $ .