Permutations And Combinations Question 73

Question: There are 16 points in a plane, no three of which are in a straight line except 8 which are all in a straight line. The number of triangles that can be formed by joining them equals [Kurukshetra CEE 1996, 1998]

Options:

A) 504

B) 552

C) 560

D) 1120

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ ^{16}C_3{{-}^{8}}C_3=504 $ .