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Q.

There are 18 points in a plane such that no three of them are in the same line except five points which are collinear. The number of triangles formed by these points, is 

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a

805

b

none of these

c

816

d

806

answer is B.

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Detailed Solution

A triangle is obtained by joining three non-collinear point

∴ The total number of triangles =18C3−5C3=806

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There are 18 points in a plane such that no three of them are in the same line except five points which are collinear. The number of triangles formed by these points, is