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

STEP 0: Pre-Calculation Summary
Formula Used
Number of Triangles = C(Value of N,3)-C(Value of M,3)
NTriangles = C(n,3)-C(m,3)
This formula uses 1 Functions, 3 Variables
Functions Used
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., C(n,k)
Variables Used
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.
Value of N - Value of N is any natural number or positive integer that can be used for combinatorial calculations.
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.
STEP 1: Convert Input(s) to Base Unit
Value of N: 8 --> No Conversion Required
Value of M: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
NTriangles = C(n,3)-C(m,3) --> C(8,3)-C(3,3)
Evaluating ... ...
NTriangles = 55
STEP 3: Convert Result to Output's Unit
55 --> No Conversion Required
FINAL ANSWER
55 <-- Number of Triangles
(Calculation completed in 00.004 seconds)

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

​LaTeX ​Go
Number of Triangles = C(Value of N,3)-C(Value of M,3)
NTriangles = C(n,3)-C(m,3)

What are Combinations?

In combinatorics, Combinations refer to the different ways of selecting a subset of items from a larger set without regard to the order of selection. Combinations are used to count the number of possible outcomes when the order of selection does not matter. For example, if you have a set of three elements {A, B, C}, the Combinations of size 2 would be {AB, AC, BC}. In this case, the order of the items within each combination does not matter, so {AB} and {BA} are considered the same combination. The number of Combinations of selecting "k" items from a set of "n" items is denoted as C(n, k). It is calculated using the binomial coefficient formula: C(n, k) = n! / (k! * (n - k)!) Combinations have various applications in mathematics, probability theory, statistics, and other fields.

How to Calculate 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 calculator uses Number of Triangles = C(Value of N,3)-C(Value of M,3) to calculate 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 calculate Number of Triangles formed by joining N Points out of which M are Collinear using this online calculator? To use this online calculator 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. Here is how the Number of Triangles formed by joining N Points out of which M are Collinear calculation can be explained with given input values -> 56 = C(8,3)-C(3,3).

FAQ

What is Number of Triangles formed by joining N Points out of which M are Collinear?
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 and is represented as NTriangles = C(n,3)-C(m,3) or Number of Triangles = C(Value of N,3)-C(Value of M,3). Value of N is any natural number or positive integer that can be used for combinatorial calculations & 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.
How to calculate Number of Triangles formed by joining N Points out of which M are Collinear?
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 is calculated using Number of Triangles = C(Value of N,3)-C(Value of M,3). To calculate Number of Triangles formed by joining N Points out of which M are Collinear, you need Value of N (n) & Value of M (m). With our tool, you need to enter the respective value for Value of N & Value of M and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Number of Triangles?
In this formula, Number of Triangles uses Value of N & Value of M. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Number of Triangles = C(Value of N,3)
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