How many lines are determined by 9 points if no 3 points lie on a straight line?
A) 72
B) 32
C) 25
D) 29
E) 36

Name: How many lines are determined by 9 points if no 3 points lie on a straight line? A) 72 B) 32 C) 25 D) 29 E) 36
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Question

How many lines are determined by 9 points if no 3 points lie on a straight line? 
A) 72
B) 32
C) 25
D) 29
E) 36

Quizplus · Accepted Answer

Each line is determined by 2 points. With 9 points where no 3 points lie on a straight line, the number of lines is given by the combination formula for choosing 2 points out of 9, which is 9C2 = 9! / (2!(9-2)!) = 36.

How Many Lines Are Determined by 9 Points If No