Permutations And Combinations Question 65
Question: The straight lines $ I_1,\ I_2,\ I_3 $ are parallel and lie in the same plane. A total number of $ m $ points are taken on $ I_1,\ n $ points on $ I_2,\ k $ points on $ I_3 $ . The maximum number of triangles formed with vertices at these points are [IIT Screening 1993; UPSEAT 2001]
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{{+}^{n}}C_3{{+}^{k}}C_3 $
D) None of these
Correct Answer: B
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Answer:
Solution:
BETA
