CAT 2017 Quantitative Ability

Question : 13 of 34

Marks: +1, -0

Two straight lines intersect at a point O. Points

A_1, A_2, A_3, A_4, A_5 .......A_m

are taken on one line and points

B_1 B_2,B_2,.......,B_n

on the other.
If the point O is not included, the number of triangles that can be drawn using these points as vertices, is

Solution:

Required number of triangles

=^{m+n}C_{3}- {^mC}_{3}-^{n}C_{3}

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