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

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}.



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