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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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a
404
b
415
c
451
d
490

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detailed solution

Correct option is C

The required number of triangle is 15C3−4C3=455−4=451


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