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Questions  

Two straight lines intersect at a point O. Points A1, A2, …, An are taken on one line and points B1, B2, …, Bn on the other. If the point O is not to be used, the number of triangles that can be drawn using these points as vertices, is

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a
n (n – 1)
b
n (n – 1)2
c
n2 (n – 1)
d
n2 (n – 1)2

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detailed solution

Correct option is C

No. of triangles =nC1.nC2+ nC1.nC2=2n.n(n−1)2=n2(n−1)


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There are 15 points in a plane, no two of which are in a straight line except 4, all of which are in a straight line. The number of triangles that can be formed by using these 15 points is


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