P&C Challenge 5

There are 10 points in a plane of which no three are collinear and 4 points are concyclic.Find the number of different circles that can be drawn through atleast 3 of these points..

Kindly explain also..

2 Answers

1
Anirudh Kumar ·

for getting a circle we need 3 points .

for selecting three points from 10

10C3

but selection from those four concyclic points will lead the same circle .

total no of circles

10C3 - 4C 3 +1

1
Rocky Crazy ·

Thanks Anirudh..

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