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Question

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 Number of straight lines obtained from the pairs of these points

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Solution

Since 4points are collinear, thus the line formed by these 4 points will be same.
Therefore,
No. of straight lines =10C24C2+1=10!2!×8!4!2!×2!+1=456+1=40

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