Number of Straight Lines formed by joining N Non-Collinear Points Calculator

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✖Value of N is any natural number or positive integer that can be used for combinatorial calculations.ⓘ Value of N [n]

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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.ⓘ Number of Straight Lines formed by joining N Non-Collinear Points [N_{Straight Lines}]

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Formula

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Number of Straight Lines formed by joining N Non-Collinear Points

Formula

`"N"_{"Straight Lines"} = C("n",2)`

Example

`"28"=C("8",2)`

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Number of Straight Lines formed by joining N Non-Collinear Points Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Straight Lines = C(Value of N,2)
N_{Straight Lines} = C(n,2)
This formula uses 1 Functions, 2 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.

STEP 1: Convert Input(s) to Base Unit

Value of N: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_{Straight Lines} = C(n,2) --> C(8,2)

Evaluating ... ...

N_{Straight Lines} = 28

STEP 3: Convert Result to Output's Unit

28 --> No Conversion Required

FINAL ANSWER

28 <-- Number of Straight Lines

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

Divanshi Jain has created this Calculator and 300+ more calculators!

Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 8 Geometric Combinatorics Calculators

Number of Rectangles in Grid

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

Go Number of Rectangles = C(Number of Horizontal Lines,2)*C(Number of Vertical Lines,2)

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

Go Number of Straight Lines = C(Value of N,2)-C(Value of M,2)+1

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

Go Number of Triangles = C(Value of N,3)-C(Value of M,3)

Number of Diagonals in N-Sided Polygon

Go Number of Diagonals = C(Value of N,2)-Value of N

Number of Straight Lines formed by joining N Non-Collinear Points

Go Number of Straight Lines = C(Value of N,2)

Number of Triangles formed by joining N Non-Collinear Points

Go Number of Triangles = C(Value of N,3)

Number of Chords formed by joining N Points on Circle

Go Number of Chords = C(Value of N,2)

Number of Straight Lines formed by joining N Non-Collinear Points Formula

Number of Straight Lines = C(Value of N,2)
N_{Straight Lines} = C(n,2)

What is Combination?

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter (unlike permutations). For example, given three fruits, say an apple, an orange and a pear, there are three combinations of two that can be drawn from this set: an apple and a pear; an apple and an orange; or a pear and an orange.

How to Calculate Number of Straight Lines formed by joining N Non-Collinear Points?

Number of Straight Lines formed by joining N Non-Collinear Points calculator uses Number of Straight Lines = C(Value of N,2) to calculate the Number of Straight Lines, The Number of Straight Lines formed by joining N Non-Collinear Points formula is defined as the total count of straight lines that can be formed by using a given set of non-collinear points on a plane. Number of Straight Lines is denoted by N_{Straight Lines} symbol.

How to calculate Number of Straight Lines formed by joining N Non-Collinear Points using this online calculator? To use this online calculator for Number of Straight Lines formed by joining N Non-Collinear Points, enter Value of N (n) and hit the calculate button. Here is how the Number of Straight Lines formed by joining N Non-Collinear Points calculation can be explained with given input values -> 21 = C(8,2).

FAQ

What is Number of Straight Lines formed by joining N Non-Collinear Points?

The Number of Straight Lines formed by joining N Non-Collinear Points formula is defined as the total count of straight lines that can be formed by using a given set of non-collinear points on a plane and is represented as N_{Straight Lines} = C(n,2) or Number of Straight Lines = C(Value of N,2). Value of N is any natural number or positive integer that can be used for combinatorial calculations.

How to calculate Number of Straight Lines formed by joining N Non-Collinear Points?

The Number of Straight Lines formed by joining N Non-Collinear Points formula is defined as the total count of straight lines that can be formed by using a given set of non-collinear points on a plane is calculated using Number of Straight Lines = C(Value of N,2). To calculate Number of Straight Lines formed by joining N Non-Collinear Points, you need Value of N (n). With our tool, you need to enter the respective value for Value of N 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. 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)-C(Value of M,2)+1

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