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Number of Relations from Set A to Set B which are not Functions Formula

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No. of Relations A to B which are not Functions is the number of binary relations R from set A to set B which are not functions. Check FAQs
NRelations not Functions=2n(A)⋅n(B)-(n(B))n(A)
NRelations not Functions - No. of Relations A to B which are not Functions?n(A) - Number of Elements in Set A?n(B) - Number of Elements in Set B?

Number of Relations from Set A to Set B which are not Functions Example

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Here is how the Number of Relations from Set A to Set B which are not Functions equation looks like with Values.

Here is how the Number of Relations from Set A to Set B which are not Functions equation looks like with Units.

Here is how the Number of Relations from Set A to Set B which are not Functions equation looks like.

4032Edit=23Edit⋅4Edit-(4Edit)3Edit
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HomeIcon Home » Category Math » Category Sets, Relations and Functions » Category Relations and Functions » fx Number of Relations from Set A to Set B which are not Functions

Number of Relations from Set A to Set B which are not Functions Solution

Follow our step by step solution on how to calculate Number of Relations from Set A to Set B which are not Functions?

FIRST Step Consider the formula
NRelations not Functions=2n(A)⋅n(B)-(n(B))n(A)
Next Step Substitute values of Variables
∴ NRelations not Functions=23⋅4-(4)3
Next Step Prepare to Evaluate
∴ NRelations not Functions=23⋅4-(4)3
LAST Step Evaluate
∴NRelations not Functions=4032

Number of Relations from Set A to Set B which are not Functions Formula Elements

Variables
No. of Relations A to B which are not Functions
No. of Relations A to B which are not Functions is the number of binary relations R from set A to set B which are not functions.
Symbol: NRelations not Functions
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find No. of Relations A to B which are not FunctionsOpen Variable
Number of Elements in Set A
Number of Elements in Set A is the total count of elements present in the given finite set A.
Symbol: n(A)
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Elements in Set AOpen Variable
Number of Elements in Set B
Number of Elements in Set B is the total count of elements present in the given finite set B.
Symbol: n(B)
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Elements in Set BOpen Variable

Credits

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

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NFunctions=(n(B))n(A)
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NInjective Functions=n(B)!(n(B)-n(A))!
​Go Number of Bijective Functions from Set A to Set B
NBijective Functions=n(A)!

How to Evaluate Number of Relations from Set A to Set B which are not Functions?

Number of Relations from Set A to Set B which are not Functions evaluator uses No. of Relations A to B which are not Functions = 2^(Number of Elements in Set A*Number of Elements in Set B)-(Number of Elements in Set B)^(Number of Elements in Set A) to evaluate the No. of Relations A to B which are not Functions, The Number of Relations from Set A to Set B which are not Functions formula is defined as the number of binary relations R from set A to set B which are not functions. No. of Relations A to B which are not Functions is denoted by NRelations not Functions symbol.

How to evaluate Number of Relations from Set A to Set B which are not Functions using this online evaluator? To use this online evaluator for Number of Relations from Set A to Set B which are not Functions, enter Number of Elements in Set A (n(A)) & Number of Elements in Set B (n(B)) and hit the calculate button.

FAQs on Number of Relations from Set A to Set B which are not Functions

What is the formula to find Number of Relations from Set A to Set B which are not Functions?
The formula of Number of Relations from Set A to Set B which are not Functions is expressed as No. of Relations A to B which are not Functions = 2^(Number of Elements in Set A*Number of Elements in Set B)-(Number of Elements in Set B)^(Number of Elements in Set A). Here is an example- 240 = 2^(3*4)-(4)^(3).
How to calculate Number of Relations from Set A to Set B which are not Functions?
With Number of Elements in Set A (n(A)) & Number of Elements in Set B (n(B)) we can find Number of Relations from Set A to Set B which are not Functions using the formula - No. of Relations A to B which are not Functions = 2^(Number of Elements in Set A*Number of Elements in Set B)-(Number of Elements in Set B)^(Number of Elements in Set A).
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