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  • 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.

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.

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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 extrmC-_2^4 extrmC+1=(45-6+1)=40

Posted by

Deependra Verma

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