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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

451

b

415

c

404

d

490

answer is C.

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Detailed Solution

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The required number of triangle is

 15C34C3=4554=451

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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