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

STEP 0: Pre-Calculation Summary
Formula Used
Number of Straight Lines = C(Value of N,2)-C(Value of M,2)+1
NStraight Lines = C(n,2)-C(m,2)+1
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 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.
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
NStraight Lines = C(n,2)-C(m,2)+1 --> C(8,2)-C(3,2)+1
Evaluating ... ...
NStraight Lines = 26
STEP 3: Convert Result to Output's Unit
26 --> No Conversion Required
FINAL ANSWER
26 <-- Number of Straight Lines
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Nikita Kumari
The National Institute of Engineering (NIE), Mysuru
Nikita Kumari has created this Calculator and 25+ more calculators!
Verifier Image
Verified by Nayana Phulphagar
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
Nayana Phulphagar has verified this Calculator and 1500+ more calculators!

Geometric Combinatorics Calculators

Number of Rectangles in Grid
​ LaTeX ​ Go Number of Rectangles = C(Number of Horizontal Lines+1,2)*C(Number of Vertical Lines+1,2)
Number of Rectangles formed by Number of Horizontal and Vertical Lines
​ LaTeX ​ Go Number of Rectangles = C(Number of Horizontal Lines,2)*C(Number of Vertical Lines,2)
Number of Triangles formed by joining N Non-Collinear Points
​ LaTeX ​ Go Number of Triangles = C(Value of N,3)
Number of Chords formed by joining N Points on Circle
​ LaTeX ​ Go Number of Chords = C(Value of N,2)

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

​LaTeX ​Go
Number of Straight Lines = C(Value of N,2)-C(Value of M,2)+1
NStraight Lines = C(n,2)-C(m,2)+1

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 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 calculator uses Number of Straight Lines = C(Value of N,2)-C(Value of M,2)+1 to calculate 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 calculate Number of Straight Lines formed by joining N Points out of which M are Collinear using this online calculator? To use this online calculator 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. Here is how the Number of Straight Lines formed by joining N Points out of which M are Collinear calculation can be explained with given input values -> 28 = C(8,2)-C(3,2)+1.

FAQ

What is Number of Straight Lines formed by joining N Points out of which M are Collinear?
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 and is represented as NStraight Lines = C(n,2)-C(m,2)+1 or Number of Straight Lines = C(Value of N,2)-C(Value of M,2)+1. 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 Straight Lines formed by joining N Points out of which M are Collinear?
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 is calculated using Number of Straight Lines = C(Value of N,2)-C(Value of M,2)+1. To calculate Number of Straight Lines 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 Straight Lines?
In this formula, Number of Straight Lines 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 Straight Lines = C(Value of N,2)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!