# There are 10 points in a plane, no three of which are in the same straight line, excepting 4 points, which are collinear. Find the the number of straight lines obtained from the pairs of these points.

Solution:

As it is given 4 points are collinear out of 10 points.

The number of straight lines obtained from the 10 points =$_{2}^{10}\textrm{C}-_{2}^{4}\textrm{C}+1=(45-6+1)=40$

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