Permutations And Combinations Question 341
Question: The straight lines $ {\ell_1},{\ell_2},{\ell_3} $ and parallel and lie in the same plane. A total number of m points are taken on $ {\ell_1} $ , n points on $ {\ell_2} $ . k points on $ {\ell_3} $ . The maximum number of triangles formed with vertices at these points are:
Options:
A) $ ^{m+n+k}C_3 $
B) $ ^{m+n+k}C_3{{-}^{m}}C_3{{-}^{n}}C_3{{-}^{k}}C_3 $
C) $ ^{m}C_3{{+}^{m}}C_3{{+}^{k}}C_3 $
D) None of these
Correct Answer: BShow Answer
Answer:
Solution: