Circles

How many different circles is determined by 9 points at the plane, if 6 of them lie in a straight line?

Correct result:

n =  64

Solution:

n1=C3(9)=(93)=9!3!(93)!=987321=84 n2=C3(6)=(63)=6!3!(63)!=654321=20 n=n1n2=8420=64



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