# Thread: counting points

1. ## counting points

Given 6 points, no 4 of which are collinear, what is the maximum number of lines that can be represented? What is the minimum number of lines that can be represented? (Keep a graphical representation of this, as I might ask to see your diagram of the situation)

can anyone solve this or at least tell me how to start this equation.

thanks

2. Originally Posted by mdizzle12830
Given 6 points, no 4 of which are collinear, what is the maximum number of lines that can be represented? What is the minimum number of lines that can be represented? (Keep a graphical representation of this, as I might ask to see your diagram of the situation)
Tha maximum is when no 3 are collinear. For example, all 6 are lying on a circle. So then the number of lines that can be drawn is the number of ways selecting two points from 6 points that is $_6C_2=15$

The minimum seem like the wrost case scenario. That is ,
Code:
*    *    *
*
*
6

3. Originally Posted by ThePerfectHacker
Tha maximum is when no 3 are collinear. For example, all 6 are lying on a circle. So then the number of lines that can be drawn is the number of ways selecting two points from 6 points that is $_6C_2=15$

The minimum seem like the wrost case scenario. That is ,
Code:
*    *    *
*
*
6

Your diagram of minimum lines contains only 5 points.

Minimum lines diagram can be:
Code:
*    *    *
*    *
*
Minimum is 9 lines.

4. Originally Posted by OReilly
Your diagram of minimum lines contains only 5 points.

Minimum lines diagram can be:
Opps, I started counting from 2.

5. ## ????????

i didnt really understand what you said, i really don't care how to do it, i just need the answer. thank you very much, i really appreciate it.