Permutations And Combinations Question 55
The number of triangles that can be formed by 5 points on 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
 Correct Answer: C 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}.Show Answer
  Answer:
Solution:
 BETA
  BETA 
             
             
           
           
           
          