How many different circles are determined by 11 points at the plane if 7 of them lie in a straight line?

Correct answer:

n =  130

Step-by-step explanation:

n1=C3(11)=(311)=3!(113)!11!=32111109=165 n2=C3(7)=(37)=3!(73)!7!=321765=35 n=n1n2=16535=130

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