Number of Elements in Set B Formula

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Number of Elements in Set B is the total count of elements present in the given finite set B. Check FAQs
n(B)=n(A∪B)+n(A∩B)-n(A)
n(B) - Number of Elements in Set B?n(A∪B) - Number of Elements in Union of A and B?n(A∩B) - Number of Elements in Intersection of A and B?n(A) - Number of Elements in Set A?

Number of Elements in Set B Example

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Here is how the Number of Elements in Set B equation looks like with Values.

Here is how the Number of Elements in Set B equation looks like with Units.

Here is how the Number of Elements in Set B equation looks like.

15Edit=19Edit+6Edit-10Edit
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Number of Elements in Set B Solution

Follow our step by step solution on how to calculate Number of Elements in Set B?

FIRST Step Consider the formula
n(B)=n(A∪B)+n(A∩B)-n(A)
Next Step Substitute values of Variables
n(B)=19+6-10
Next Step Prepare to Evaluate
n(B)=19+6-10
LAST Step Evaluate
n(B)=15

Number of Elements in Set B Formula Elements

Variables
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.
Number of Elements in Union of A and B
Number of Elements in Union of A and B is the total count of elements present in at least one of the two given finite sets A and B.
Symbol: n(A∪B)
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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.
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.

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)
​Go Number of Elements in Symmetric Difference of Two Sets A and B
n(AΔB)=n(A∪B)-n(A∩B)
​Go Number of Elements in Intersection of Two Sets A and B
n(A∩B)=n(A)+n(B)-n(A∪B)

How to Evaluate Number of Elements in Set B?

Number of Elements in Set B evaluator uses Number of Elements in Set B = Number of Elements in Union of A and B+Number of Elements in Intersection of A and B-Number of Elements in Set A to evaluate the Number of Elements in Set B, The Number of Elements in Set B formula is defined as the total count of elements present in the given finite set B. Number of Elements in Set B is denoted by n(B) symbol.

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

FAQs on Number of Elements in Set B

What is the formula to find Number of Elements in Set B?
The formula of Number of Elements in Set B is expressed as Number of Elements in Set B = Number of Elements in Union of A and B+Number of Elements in Intersection of A and B-Number of Elements in Set A. Here is an example- 14 = 19+6-10.
How to calculate Number of Elements in Set B?
With Number of Elements in Union of A and B (n(A∪B)), Number of Elements in Intersection of A and B (n(A∩B)) & Number of Elements in Set A (n(A)) we can find Number of Elements in Set B using the formula - Number of Elements in Set B = Number of Elements in Union of A and B+Number of Elements in Intersection of A and B-Number of Elements in Set A.
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