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Number of Straight Lines is the total count of straight lines that can be formed by using a given set of collinear and non-collinear points on a plane. Check FAQs
NStraight Lines=C(n,2)-C(m,2)+1
NStraight Lines - Number of Straight Lines?n - Value of N?m - Value of M?

Number of Straight Lines formed by joining N Points out of which M are Collinear Example

With values
With units
Only example

Here is how the Number of Straight Lines formed by joining N Points out of which M are Collinear equation looks like with Values.

Here is how the Number of Straight Lines formed by joining N Points out of which M are Collinear equation looks like with Units.

Here is how the Number of Straight Lines formed by joining N Points out of which M are Collinear equation looks like.

26Edit=C(8Edit,2)-C(3Edit,2)+1
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Number of Straight Lines formed by joining N Points out of which M are Collinear Solution

Follow our step by step solution on how to calculate Number of Straight Lines formed by joining N Points out of which M are Collinear?

FIRST Step Consider the formula
NStraight Lines=C(n,2)-C(m,2)+1
Next Step Substitute values of Variables
∴ NStraight Lines=C(8,2)-C(3,2)+1
Next Step Prepare to Evaluate
∴ NStraight Lines=C(8,2)-C(3,2)+1
LAST Step Evaluate
∴NStraight Lines=26

Number of Straight Lines formed by joining N Points out of which M are Collinear Formula Elements

Variables
Functions
Number of Straight Lines
Number of Straight Lines is the total count of straight lines that can be formed by using a given set of collinear and non-collinear points on a plane.
Symbol: NStraight Lines
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Straight LinesOpen Variable
Value of N
Value of N is any natural number or positive integer that can be used for combinatorial calculations.
Symbol: n
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Value of NOpen Variable
Value of M
Value of M is any natural number or positive integer that can be used for combinatorial calculations, which should always be less than value of n.
Symbol: m
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Value of MOpen Variable
C
In combinatorics, the binomial coefficient is a way to represent the number of ways to choose a subset of objects from a larger set. It is also known as the "n choose k" tool.
Syntax: C(n,k)

Other Formulas to find Number of Straight Lines

​Go Number of Straight Lines formed by joining N Non-Collinear Points
NStraight Lines=C(n,2)

Other formulas in Geometric Combinatorics category

​Go Number of Chords formed by joining N Points on Circle
NChords=C(n,2)
​Go Number of Rectangles in Grid
NRectangles=C(NHorizontal Lines+1,2)⋅C(NVertical Lines+1,2)
​Go Number of Triangles formed by joining N Non-Collinear Points
NTriangles=C(n,3)
​Go Number of Rectangles formed by Number of Horizontal and Vertical Lines
NRectangles=C(NHorizontal Lines,2)⋅C(NVertical Lines,2)

How to Evaluate Number of Straight Lines formed by joining N Points out of which M are Collinear?

Number of Straight Lines formed by joining N Points out of which M are Collinear evaluator uses Number of Straight Lines = C(Value of N,2)-C(Value of M,2)+1 to evaluate the Number of Straight Lines, The Number of Straight Lines formed by joining N Points out of which M are Collinear formula is defined as the total count of straight lines that can be formed by using a given set of collinear and non-collinear points on a plane. Number of Straight Lines is denoted by NStraight Lines symbol.

How to evaluate Number of Straight Lines formed by joining N Points out of which M are Collinear using this online evaluator? To use this online evaluator for Number of Straight Lines formed by joining N Points out of which M are Collinear, enter Value of N (n) & Value of M (m) and hit the calculate button.

FAQs on Number of Straight Lines formed by joining N Points out of which M are Collinear

What is the formula to find Number of Straight Lines formed by joining N Points out of which M are Collinear?
The formula of Number of Straight Lines formed by joining N Points out of which M are Collinear is expressed as Number of Straight Lines = C(Value of N,2)-C(Value of M,2)+1. Here is an example- 28 = C(8,2)-C(3,2)+1.
How to calculate Number of Straight Lines formed by joining N Points out of which M are Collinear?
With Value of N (n) & Value of M (m) we can find Number of Straight Lines formed by joining N Points out of which M are Collinear using the formula - Number of Straight Lines = C(Value of N,2)-C(Value of M,2)+1. This formula also uses binomial coefficient function(s).
What are the other ways to Calculate Number of Straight Lines?
Here are the different ways to Calculate Number of Straight Lines-
  • Number of Straight Lines=C(Value of N,2)OpenImg
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