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Number of Rectangles is the total count of rectangles that can be formed by using a given set of horizontal and vertical lines from a plane. Check FAQs
NRectangles=C(NHorizontal Lines+1,2)⋅C(NVertical Lines+1,2)
NRectangles - Number of Rectangles?NHorizontal Lines - Number of Horizontal Lines?NVertical Lines - Number of Vertical Lines?

Number of Rectangles in Grid Example

With values
With units
Only example

Here is how the Number of Rectangles in Grid equation looks like with Values.

Here is how the Number of Rectangles in Grid equation looks like with Units.

Here is how the Number of Rectangles in Grid equation looks like.

2475Edit=C(10Edit+1,2)⋅C(9Edit+1,2)
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HomeIcon Home » Category Math » Category Combinatorics » Category Combinations » fx Number of Rectangles in Grid

Number of Rectangles in Grid Solution

Follow our step by step solution on how to calculate Number of Rectangles in Grid?

FIRST Step Consider the formula
NRectangles=C(NHorizontal Lines+1,2)⋅C(NVertical Lines+1,2)
Next Step Substitute values of Variables
∴ NRectangles=C(10+1,2)⋅C(9+1,2)
Next Step Prepare to Evaluate
∴ NRectangles=C(10+1,2)⋅C(9+1,2)
LAST Step Evaluate
∴NRectangles=2475

Number of Rectangles in Grid Formula Elements

Variables
Functions
Number of Rectangles
Number of Rectangles is the total count of rectangles that can be formed by using a given set of horizontal and vertical lines from a plane.
Symbol: NRectangles
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of RectanglesOpen Variable
Number of Horizontal Lines
Number of Horizontal Lines is the total count of given straight lines which are horizontally oriented on a plane.
Symbol: NHorizontal Lines
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Horizontal LinesOpen Variable
Number of Vertical Lines
Number of Vertical Lines is the total count of given straight lines which are vertically oriented on a plane.
Symbol: NVertical Lines
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Vertical LinesOpen 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 Rectangles

​Go Number of Rectangles formed by Number of Horizontal and Vertical Lines
NRectangles=C(NHorizontal Lines,2)⋅C(NVertical Lines,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 Triangles formed by joining N Non-Collinear Points
NTriangles=C(n,3)
​Go Number of Straight Lines formed by joining N Non-Collinear Points
NStraight Lines=C(n,2)
​Go Number of Diagonals in N-Sided Polygon
NDiagonals=C(n,2)-n

How to Evaluate Number of Rectangles in Grid?

Number of Rectangles in Grid evaluator uses Number of Rectangles = C(Number of Horizontal Lines+1,2)*C(Number of Vertical Lines+1,2) to evaluate the Number of Rectangles, Number of Rectangles in Grid formula is defined as the total count of rectangles that can be formed inside a grid created using a given set of horizontal and vertical lines from a plane. Number of Rectangles is denoted by NRectangles symbol.

How to evaluate Number of Rectangles in Grid using this online evaluator? To use this online evaluator for Number of Rectangles in Grid, enter Number of Horizontal Lines (NHorizontal Lines) & Number of Vertical Lines (NVertical Lines) and hit the calculate button.

FAQs on Number of Rectangles in Grid

What is the formula to find Number of Rectangles in Grid?
The formula of Number of Rectangles in Grid is expressed as Number of Rectangles = C(Number of Horizontal Lines+1,2)*C(Number of Vertical Lines+1,2). Here is an example- 1980 = C(10+1,2)*C(9+1,2).
How to calculate Number of Rectangles in Grid?
With Number of Horizontal Lines (NHorizontal Lines) & Number of Vertical Lines (NVertical Lines) we can find Number of Rectangles in Grid using the formula - Number of Rectangles = C(Number of Horizontal Lines+1,2)*C(Number of Vertical Lines+1,2). This formula also uses Binomial Coefficient (C) function(s).
What are the other ways to Calculate Number of Rectangles?
Here are the different ways to Calculate Number of Rectangles-
  • Number of Rectangles=C(Number of Horizontal Lines,2)*C(Number of Vertical Lines,2)OpenImg
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