CIRCLING CIRCLES...

Probability Level 2

What is the maximum number of points of intersection of 8 circles?

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28 56 16 24

Harshvardhan Mehta by Harshvardhan Mehta , 23, India

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1 solution

Prabhat Sharma
Jul 13, 2014

2 circles cut each other at two points at 2 points ,3 circles cut at 4 points hence We have a series of total no point of intersection 2+4+6+8........+16 Sum of series is answer

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Its just a simple application of pcn..
Lets take an example... 2 circles intersect at 2 points... Therefore....8c2times 2! are the no of ways by which 8 circles can intersect.. Hence, ans is 56

Kïñshük Sïñgh - 6 years, 11 months ago

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