Let there be 9 fixed points on the circumference o

Question

Let there be 9 fixed points on the circumference of a circle. Each of these points is joined to every one of the remaining 8 points by a straight line and the points are positioned on the circumference so that at most 2 of the aformentioned lines meet in any interior point of the circle, as shown in the example below. How many intersection points are there

Anindya Ranjan · Accepted Answer

It is a good question from the topic ‘Combination’, it’s soln. is as following:For an intersection point, by the hypothesis that- this point is an intersection of two line segments, tells us that there must be two line segments consisting of 4 fixed points of the circle for an intersection point.Thus,total no. of intersection points = total no. of ways we can select 4 fixed points from the 9 fixed points = 9C4 = 126

IIT JEE Entrance Exam> Let there be 9 fixed points on the circum...

Oshi , 7 Years ago

Anindya Ranjan

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Sum of series 2[n/2] ! [n/2]!/ n! [2Co-2C2+3C2....+[-1]^n[n+1]2Cn] where n is an even positive integer. Kindly provide solution of this question and how to generalise this. How do we know that which expansion will give this?

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IIT JEE Entrance Exam> Let there be 9 fixed points on the circum...

Oshi , 7 Years ago

Anindya Ranjan

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