The straight lines $l_1, l_2, l_3$ are parallel and lie in the same plane. $A$ total number of $m$ points are taken on $l_1$,$n$ points on $l_2$,and $k$ points on $l_3$. The maximum number of triangles formed with vertices at these points is:
- A$^{m+n+k}C_3$
- B$^{m+n+k}C_3 - ^mC_3 - ^nC_3 - ^kC_3$
- C$^mC_3 + ^nC_3 + ^kC_3$
- DNone of these
Explore More
Similar Questions
Six '$X$'s have to be placed in the squares of the figure such that each row contains at least one '$X$'. In how many different ways can this be done?
DifficultIIT 1989
View Solution$A$ polygon has $35$ diagonals,then the number of its sides is
Easy
View SolutionSuppose that $20$ pillars of the same height have been erected along the boundary of a circular stadium. If the top of each pillar has been connected by beams with the top of all its non-adjacent pillars,then the total number of beams is
DifficultJEE MAIN 2019
View SolutionThere are $20$ straight lines in a plane such that no two of them are parallel and no three of them are concurrent. If their points of intersection are joined,then the number of new line segments formed is
The number of shortest paths from point $A$ to $D$ (as shown in the figure) is:
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo