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There are 10 points in a plane, out of these 6 are collinear. The number of triangles formed by joining these points, is

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a
100
b
150
c
120
d
130

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detailed solution

Correct option is A

A triangle is obtained by joining three noncollinear points. So number of triangles on joining 3 points out of 10 points = 10C3.

But, 6 points are collinear and on joining any three out of these 6, we do not obtain a triangle .

Hence, the required number of triangles

=10C36C3=12020=100.

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