If 12 distinct points are placed on the circumference of a circle and all the chords connecting these points are drawn. What is the largest number of points of intersection for these chords?

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Question :
If 12 distinct points are placed on the circumference of a circle and all the chords connecting these points are drawn. What is the largest number of points of intersection for these chords?

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Category Logical & Aptitude Interview Questions

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Added on 8/10/2007 2:16:53 PM

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Answers:

(12*0)+(12*1)+(12*2)+(12*3)+(12*4)+(12*5)+(12*6)+(12*7)+(12*8)+(12*9)+(12*10)+(12*11)
0+12+24+36+48+60+72+84+96+108+120+132=792

worst case largest number of points of intersection is 792 intersections.

Posted by: Prakash

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y->x
x=sqrt(y)+3

sqrt(25)+3=8

Answer is 8

Posted by: Mahipal

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using combinations we get no. of lines formed by intersection of 12 distincy pts =12*11/2=66

2 lines intersect to form a pt therefore total intersections =66*65/2=2145

Posted by: aakash

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So we r starting with
4 points no of intersection-1
5 " " -3
6 " " " -6
continuing and by induction we have 28 intersection with 12 points

Posted by: Nida Sami

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