JEE MATHEMATICS MCQ: PERMUTATIONS

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Application +4 | -1

Two straight lines intersect at a point

O

. Points

A_1, A_2, \ldots, A_n

are taken on one line and points

B_1, B_2, \ldots, B_n

on the other. If the point

O

is not to be used, then the number of triangles that can be drawn using these points as vertices, is

View answer and explanation

Correct option: C

n^2(n-1)

Option C (

n^2(n-1)

) is correct because it represents the total number of triangles formed by subtracting the degenerate cases (3 points on the same line) from the total possible combinations.

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