NIMCET 2009 Question Paper with solutions

Question : 14 of 120

Marks: +1, -0

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

Solution:

Number of triangles = (Number of ways of selecting 3 points from given 10 points) - (Number of ways selecting 3 points from 6 collinear points)

=^{10} C_{3}- ^{6} C_{3}=120-20=100

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