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Number of Triangles is the total count of triangles that can be formed by using a given set of collinear and non-collinear points on a plane. Check FAQs
NTriangles=C(n,3)-C(m,3)
NTriangles - Number of Triangles?n - Value of N?m - Value of M?

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

With values
With units
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Here is how the Number of Triangles formed by joining N Points out of which M are Collinear equation looks like with Values.

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

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

55Edit=C(8Edit,3)-C(3Edit,3)
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Number of Triangles formed by joining N Points out of which M are Collinear Solution

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

FIRST Step Consider the formula
NTriangles=C(n,3)-C(m,3)
Next Step Substitute values of Variables
∴ NTriangles=C(8,3)-C(3,3)
Next Step Prepare to Evaluate
∴ NTriangles=C(8,3)-C(3,3)
LAST Step Evaluate
∴NTriangles=55

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

Variables
Functions
Number of Triangles
Number of Triangles is the total count of triangles that can be formed by using a given set of collinear and non-collinear points on a plane.
Symbol: NTriangles
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of TrianglesOpen 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 Triangles

​Go Number of Triangles formed by joining N Non-Collinear Points
NTriangles=C(n,3)

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 Rectangles formed by Number of Horizontal and Vertical Lines
NRectangles=C(NHorizontal Lines,2)⋅C(NVertical Lines,2)
​Go Number of Straight Lines formed by joining N Non-Collinear Points
NStraight Lines=C(n,2)

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

Number of Triangles formed by joining N Points out of which M are Collinear evaluator uses Number of Triangles = C(Value of N,3)-C(Value of M,3) to evaluate the Number of Triangles, The Number of Triangles formed by joining N Points out of which M are Collinear formula is defined as the total count of triangles that can be formed by using a given set of collinear and non-collinear points on a plane. Number of Triangles is denoted by NTriangles symbol.

How to evaluate Number of Triangles formed by joining N Points out of which M are Collinear using this online evaluator? To use this online evaluator for Number of Triangles 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 Triangles formed by joining N Points out of which M are Collinear

What is the formula to find Number of Triangles formed by joining N Points out of which M are Collinear?
The formula of Number of Triangles formed by joining N Points out of which M are Collinear is expressed as Number of Triangles = C(Value of N,3)-C(Value of M,3). Here is an example- 56 = C(8,3)-C(3,3).
How to calculate Number of Triangles 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 Triangles formed by joining N Points out of which M are Collinear using the formula - Number of Triangles = C(Value of N,3)-C(Value of M,3). This formula also uses Binomial Coefficient (C) function(s).
What are the other ways to Calculate Number of Triangles?
Here are the different ways to Calculate Number of Triangles-
  • Number of Triangles=C(Value of N,3)OpenImg
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