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The straight lines , l1,l2 and l3 are pa...

The straight lines , `l_1,l_2 and l_3` are parallel and lie in the same plane . A total number of m points are taken on l : n points on `l_2` k points on `l_3` The maximum number of triangle formed with vertices at these points is :

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

`m+n+k C_(3)+m C_(3)+n C_(3)+k C_(3)`

Text Solution

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The correct Answer is:
B
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