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

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

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

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

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

12Edit=6Edit+7Edit+8Edit-3⋅3Edit
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HomeIcon Home » Category Math » Category Sets, Relations and Functions » Category Sets » fx Number of Elements in Exactly Two of Sets A, B and C

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

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

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

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

Variables
No. of Elements in Exactly Two of the A, B and C
No. of Elements in Exactly Two of the A, B and C is the total count of elements present in exactly two of the given finite sets A, B and C.
Symbol: n(Exactly Two of A, B, C)
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find No. of Elements in Exactly Two of the A, B and 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

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 Exactly Two of Sets A, B and C?

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

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

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