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No. of Elements in Symmetric Difference of A and B is the total count of elements that are either present in a given set A or in another given set B but not in both. Check FAQs
n(AΔB)=n(A)+n(B)-2⋅n(A∩B)
n(AΔB) - No. of Elements in Symmetric Difference of A and B?n(A) - Number of Elements in Set A?n(B) - Number of Elements in Set B?n(A∩B) - Number of Elements in Intersection of A and B?

Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B) Example

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Here is how the Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B) equation looks like with Values.

Here is how the Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B) equation looks like with Units.

Here is how the Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B) equation looks like.

13Edit=10Edit+15Edit-2⋅6Edit
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Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B) Solution

Follow our step by step solution on how to calculate Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B)?

FIRST Step Consider the formula
n(AΔB)=n(A)+n(B)-2⋅n(A∩B)
Next Step Substitute values of Variables
∴ n(AΔB)=10+15-2⋅6
Next Step Prepare to Evaluate
∴ n(AΔB)=10+15-2⋅6
LAST Step Evaluate
∴n(AΔB)=13

Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B) Formula Elements

Variables
No. of Elements in Symmetric Difference of A and B
No. of Elements in Symmetric Difference of A and B is the total count of elements that are either present in a given set A or in another given set B but not in both.
Symbol: n(AΔB)
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find No. of Elements in Symmetric Difference of A and BOpen 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 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

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!
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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 to find No. of Elements in Symmetric Difference of A and 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 Symmetric Difference of Two Sets A and B given n(A-B) and n(B-A)
n(AΔB)=n(A-B)+n(B-A)

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

How to Evaluate Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B)?

Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B) evaluator uses No. of Elements in Symmetric Difference of A and B = Number of Elements in Set A+Number of Elements in Set B-2*Number of Elements in Intersection of A and B to evaluate the No. of Elements in Symmetric Difference of A and B, The Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B) formula is defined as the total count of elements that are either present in a given set A or in another given set B but not in both, and calculated using the number of elements in set A and set B. No. of Elements in Symmetric Difference of A and B is denoted by n(AΔB) symbol.

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

FAQs on Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B)

What is the formula to find Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B)?
The formula of Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B) is expressed as No. of Elements in Symmetric Difference of A and B = Number of Elements in Set A+Number of Elements in Set B-2*Number of Elements in Intersection of A and B. Here is an example- 13 = 10+15-2*6.
How to calculate Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B)?
With Number of Elements in Set A (n(A)), Number of Elements in Set B (n(B)) & Number of Elements in Intersection of A and B (n(A∩B)) we can find Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B) using the formula - No. of Elements in Symmetric Difference of A and B = Number of Elements in Set A+Number of Elements in Set B-2*Number of Elements in Intersection of A and B.
What are the other ways to Calculate No. of Elements in Symmetric Difference of A and B?
Here are the different ways to Calculate No. of Elements in Symmetric Difference of A and B-
  • No. of Elements in Symmetric Difference of A and B=Number of Elements in Union of A and B-Number of Elements in Intersection of A and BOpenImg
  • No. of Elements in Symmetric Difference of A and B=Number of Elements in A-B+Number of Elements in B-AOpenImg
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