Permutations And Combinations Question 55

Question: The number of triangles that can be formed by 5 points in a line and 3 points on a parallel line is

Options:

A) $ ^{8}C_3 $

B) $ ^{8}C_3{{-}^{5}}C_3 $

C) $ ^{8}C_3{{-}^{5}}C_3-1 $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • The required number of ways = $ ^{8}C_3{{-}^{5}}C_3{{-}^{3}}C_3 $ . {Since total points are 8, but 5 are collinear and other three are also collinear}.