Table of Contents
- 1 How many line segments you can maximum draw with six non-collinear points?
- 2 How many line segments can be drawn if there are six distinct non-collinear points on a plane?
- 3 How many line segments can be obtained?
- 4 How many line segments can be drawn using three non-collinear points?
- 5 How many line segments can be formed by joining 4 points?
- 6 How many segments can be drawn between the 9 non-collinear points?
- 7 How many triangles can be formed if only one point is collinear?
- 8 How many lines can be formed from 10 distinct points?
How many line segments you can maximum draw with six non-collinear points?
⁶C₂ = 6!/2!.
How many line segments can be drawn if there are six distinct non-collinear points on a plane?
You drew 5 + 4 + 3 + 2 + 1 = 15 segments.
How many line segments can be drawn using four non collinear points?
Answer: Six is the correct ans.
How many line segments can be obtained?
A line segment is made of infinite (uncountable) number of points.
How many line segments can be drawn using three non-collinear points?
And we all know that a line segment requires two minimum points. Therefore the combinations of number of line segments is 3C2. Therefore the number of line segments from three non-collinear points is 3. So this is the required answer.
How many segments can be formed by joining 4 points?
Caution:
2 points | 1 segment = 2 × 1 2 |
---|---|
3 points | 3 segments = 3 × 2 2 |
4 points | 6 segments = 4 × 3 2 |
5 points | 10 segments = 5 × 4 2 |
n points | n × ( n -1 ) 2 segments |
How many line segments can be formed by joining 4 points?
How many segments can be drawn between the 9 non-collinear points?
There are 36 segments that can be drawn between the 9 non-collinear points. This can be done as above, draw all of the them and count, or you can also look for a pattern with smaller number of non-collinear points and create a formula. Let n = the number of non-collinear points and s = number of segments drawn:
How to count the number of lines in a collinear group?
Let’s divide the points in two groups: the collinear group of 4 points, and the non-collinear group of 6 points. To count the number of lines, we have three possible cases. First, the lines formed using the points of the collinear group – only 1 line. Second, the lines formed using only the points of the non-collinear group – 6 C 2 or 15 lines.
How many triangles can be formed if only one point is collinear?
The triangles formed may include 0, 1 or 2 of the collinear points.If none of the collinear points are chosen then, assuming none of the other points are collinear, 5C3=10 triangles can be formed. If one of the collinear points is used then 5C2=10.
How many lines can be formed from 10 distinct points?
The number of ways to select any points (out of 10 distinct points) will be 10 C 2. Once we select the points, there is only 1 straight line which will be formed using these points. Therefore the number of lines will be 10 C 2 x 1 or 45. Here’s a crazy figure to illustrate.