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Q.

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

answer is C.

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Detailed Solution

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