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Number of Elements in Exactly One of Sets A, B and C Formula

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No. of Elements in Exactly One of the A, B and C is the total count of elements present in exactly one of the given finite sets A, B and C. Check FAQs
n(Exactly One of A, B, C)=n(A)+n(B)+n(C)-2⋅n(A∩B)-2⋅n(B∩C)-2⋅n(A∩C)+3⋅n(A∩B∩C)
n(Exactly One of A, B, C) - No. of Elements in Exactly One of the 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 Exactly One of Sets A, B and C Example

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

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

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

12Edit=10Edit+15Edit+20Edit-2⋅6Edit-2⋅7Edit-2⋅8Edit+3⋅3Edit
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Home » Math » Sets, Relations and Functions » Sets » Number of Elements in Exactly One of Sets A, B and C

Number of Elements in Exactly One of Sets A, B and C Solution

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

FIRST Step Consider the formula
n(Exactly One of A, B, C)=n(A)+n(B)+n(C)-2⋅n(A∩B)-2⋅n(B∩C)-2⋅n(A∩C)+3⋅n(A∩B∩C)
Next Step Substitute values of Variables
∴ n(Exactly One of A, B, C)=10+15+20-2⋅6-2⋅7-2⋅8+3⋅3
Next Step Prepare to Evaluate
∴ n(Exactly One of A, B, C)=10+15+20-2⋅6-2⋅7-2⋅8+3⋅3
LAST Step Evaluate
∴n(Exactly One of A, B, C)=12

Number of Elements in Exactly One of Sets A, B and C Formula Elements

Variables
No. of Elements in Exactly One of the A, B and C
No. of Elements in Exactly One of the A, B and C is the total count of elements present in exactly one of the given finite sets A, B and C.
Symbol: n(Exactly One of A, B, C)
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.
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 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.
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 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.
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.
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.

Credits

Creator Image
Created by Nikita Salampuria
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
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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How to Evaluate Number of Elements in Exactly One of Sets A, B and C?

Number of Elements in Exactly One of Sets A, B and C evaluator uses No. of Elements in Exactly One of the A, B and C = Number of Elements in Set A+Number of Elements in Set B+Number of Elements in Set C-2*Number of Elements in Intersection of A and B-2*Number of Elements in Intersection of B and C-2*Number of Elements in Intersection of A and C+3*Number of Elements in Intersection of A, B and C to evaluate the No. of Elements in Exactly One of the A, B and C, The Number of Elements in Exactly One of Sets A, B and C formula is defined as the total count of elements present in exactly one of the given finite sets A, B and C. No. of Elements in Exactly One of the A, B and C is denoted by n(Exactly One of A, B, C) symbol.

How to evaluate Number of Elements in Exactly One of Sets A, B and C using this online evaluator? To use this online evaluator for Number of Elements in Exactly One of 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 Exactly One of Sets A, B and C

What is the formula to find Number of Elements in Exactly One of Sets A, B and C?
The formula of Number of Elements in Exactly One of Sets A, B and C is expressed as No. of Elements in Exactly One of the A, B and C = Number of Elements in Set A+Number of Elements in Set B+Number of Elements in Set C-2*Number of Elements in Intersection of A and B-2*Number of Elements in Intersection of B and C-2*Number of Elements in Intersection of A and C+3*Number of Elements in Intersection of A, B and C. Here is an example- 12 = 10+15+20-2*6-2*7-2*8+3*3.
How to calculate Number of Elements in Exactly One of 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 Exactly One of Sets A, B and C using the formula - No. of Elements in Exactly One of the A, B and C = Number of Elements in Set A+Number of Elements in Set B+Number of Elements in Set C-2*Number of Elements in Intersection of A and B-2*Number of Elements in Intersection of B and C-2*Number of Elements in Intersection of A and C+3*Number of Elements in Intersection of A, B and C.
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