FormulaDen logo
FormulaDen.com
Search
Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Number of Elements in Union of Three Sets A, B and C Formula

Fx Copy
LaTeX Copy
Number of Elements in Union of A, B and C is the total count of elements present in at least one of the three given finite sets A, B and C. Check FAQs
n(A∪B∪C)=n(A)+n(B)+n(C)-n(A∩B)-n(B∩C)-n(A∩C)+n(A∩B∩C)
n(A∪B∪C) - Number of Elements in Union of A, B and C?n(A) - Number of Elements in Set A?n(B) - Number of Elements in Set B?n(C) - Number of Elements in Set C?n(A∩B) - Number of Elements in Intersection of A and B?n(B∩C) - Number of Elements in Intersection of B and C?n(A∩C) - Number of Elements in Intersection of A and C?n(A∩B∩C) - Number of Elements in Intersection of A, B and C?

Number of Elements in Union of Three Sets A, B and C Example

With values
With units
Only example

Here is how the Number of Elements in Union of Three Sets A, B and C equation looks like with Values.

Here is how the Number of Elements in Union of Three Sets A, B and C equation looks like with Units.

Here is how the Number of Elements in Union of Three Sets A, B and C equation looks like.

27Edit=10Edit+15Edit+20Edit-6Edit-7Edit-8Edit+3Edit
Solution
Copy
Reset
Share
You are here -
HomeIcon Home » Category Math » Category Sets, Relations and Functions » Category Sets » fx Number of Elements in Union of Three Sets A, B and C

Number of Elements in Union of Three Sets A, B and C Solution

Follow our step by step solution on how to calculate Number of Elements in Union of Three Sets A, B and C?

FIRST Step Consider the formula
n(A∪B∪C)=n(A)+n(B)+n(C)-n(A∩B)-n(B∩C)-n(A∩C)+n(A∩B∩C)
Next Step Substitute values of Variables
∴ n(A∪B∪C)=10+15+20-6-7-8+3
Next Step Prepare to Evaluate
∴ n(A∪B∪C)=10+15+20-6-7-8+3
LAST Step Evaluate
∴n(A∪B∪C)=27

Number of Elements in Union of Three Sets A, B and C Formula Elements

Variables
Number of Elements in Union of A, B and C
Number of Elements in Union of A, B and C is the total count of elements present in at least one of the three given finite sets A, B and C.
Symbol: n(A∪B∪C)
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Elements in Union of A, B and COpen 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
Number of Elements in Set C
Number of Elements in Set C is the total count of elements present in the given finite set C.
Symbol: n(C)
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Elements in Set COpen Variable
Number of Elements in Intersection of A and B
Number of Elements in Intersection of A and B is the total count of common elements present in both of the given finite sets A and B.
Symbol: n(A∩B)
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Elements in Intersection of A and BOpen Variable
Number of Elements in Intersection of B and C
Number of Elements in Intersection of B and C is the total count of common elements present in both of the given finite sets B and C.
Symbol: n(B∩C)
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Elements in Intersection of B and COpen Variable
Number of Elements in Intersection of A and C
Number of Elements in Intersection of A and C is the total count of common elements present in both of the given finite sets A and C.
Symbol: n(A∩C)
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Elements in Intersection of A and COpen Variable
Number of Elements in Intersection of A, B and C
Number of Elements in Intersection of A, B and C is the total count of common elements present in all of the given finite sets A, B and C.
Symbol: n(A∩B∩C)
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Elements in Intersection of A, B and COpen Variable

Credits

Creator Image
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!

Other formulas in Sets category

​Go Number of Elements in Power Set of Set A
nP(A)=2n(A)
​Go Number of Elements in Difference of Two Sets A and B
n(A-B)=n(A)-n(A∩B)

How to Evaluate Number of Elements in Union of Three Sets A, B and C?

Number of Elements in Union of Three Sets A, B and C evaluator uses Number of Elements in Union of A, B and C = Number of Elements in Set A+Number of Elements in Set B+Number of Elements in Set C-Number of Elements in Intersection of A and B-Number of Elements in Intersection of B and C-Number of Elements in Intersection of A and C+Number of Elements in Intersection of A, B and C to evaluate the Number of Elements in Union of A, B and C, The Number of Elements in Union of Three Sets A, B and C formula is defined as the total count of elements present in at least one of the three given finite sets A, B and C. Number of Elements in Union of A, B and C is denoted by n(A∪B∪C) symbol.

How to evaluate Number of Elements in Union of Three Sets A, B and C using this online evaluator? To use this online evaluator for Number of Elements in Union of Three Sets A, B and C, enter Number of Elements in Set A (n(A)), Number of Elements in Set B (n(B)), Number of Elements in Set C (n(C)), Number of Elements in Intersection of A and B (n(A∩B)), Number of Elements in Intersection of B and C (n(B∩C)), Number of Elements in Intersection of A and C (n(A∩C)) & Number of Elements in Intersection of A, B and C (n(A∩B∩C)) and hit the calculate button.

FAQs on Number of Elements in Union of Three Sets A, B and C

What is the formula to find Number of Elements in Union of Three Sets A, B and C?
The formula of Number of Elements in Union of Three Sets A, B and C is expressed as Number of Elements in Union of A, B and C = Number of Elements in Set A+Number of Elements in Set B+Number of Elements in Set C-Number of Elements in Intersection of A and B-Number of Elements in Intersection of B and C-Number of Elements in Intersection of A and C+Number of Elements in Intersection of A, B and C. Here is an example- 27 = 10+15+20-6-7-8+3.
How to calculate Number of Elements in Union of Three Sets A, B and C?
With Number of Elements in Set A (n(A)), Number of Elements in Set B (n(B)), Number of Elements in Set C (n(C)), Number of Elements in Intersection of A and B (n(A∩B)), Number of Elements in Intersection of B and C (n(B∩C)), Number of Elements in Intersection of A and C (n(A∩C)) & Number of Elements in Intersection of A, B and C (n(A∩B∩C)) we can find Number of Elements in Union of Three Sets A, B and C using the formula - Number of Elements in Union of A, B and C = Number of Elements in Set A+Number of Elements in Set B+Number of Elements in Set C-Number of Elements in Intersection of A and B-Number of Elements in Intersection of B and C-Number of Elements in Intersection of A and C+Number of Elements in Intersection of A, B and C.
© 2024-2025. Developed & Maintained by softUsvista Inc.
Copied!