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

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✖Number of Elements in Set A is the total count of elements present in the given finite set A.ⓘ Number of Elements in Set A [n_(A)]			+10% -10%
✖Number of Elements in Set B is the total count of elements present in the given finite set B.ⓘ Number of Elements in Set B [n_(B)]			+10% -10%
✖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.ⓘ Number of Elements in Intersection of A and B [n_(A∩B)]			+10% -10%

✖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.ⓘ Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B) [n_(AΔB)]

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

Formula

`"n"_{"(AΔB)"} = "n"_{"(A)"}+"n"_{"(B)"}-2*"n"_{"(A∩B)"}`

Example

`"13"="10"+"15"-2*"6"`

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

STEP 0: Pre-Calculation Summary

Formula Used

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
n_(AΔB) = n_(A)+n_(B)-2*n_(A∩B)
This formula uses 4 Variables

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Number of Elements in Set A: 10 --> No Conversion Required
Number of Elements in Set B: 15 --> No Conversion Required
Number of Elements in Intersection of A and B: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_(AΔB) = n_(A)+n_(B)-2*n_(A∩B) --> 10+15-2*6

Evaluating ... ...

n_(AΔB) = 13

STEP 3: Convert Result to Output's Unit

13 --> No Conversion Required

FINAL ANSWER

13 <-- No. of Elements in Symmetric Difference of A and B

(Calculation completed in 00.004 seconds)

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< 14 Sets Calculators

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

Go 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

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

Go 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

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

Go 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

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

Go 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

Number of Elements in Intersection of Two Sets A and B

Go Number of Elements in Intersection of A and B = Number of Elements in Set A+Number of Elements in Set B-Number of Elements in Union of A and B

Number of Elements in Union of Two Sets A and B

Go Number of Elements in Union of A and B = Number of Elements in Set A+Number of Elements in Set B-Number of Elements in Intersection of A and B

Number of Elements in Set A

Go Number of Elements in Set A = Number of Elements in Union of A and B+Number of Elements in Intersection of A and B-Number of Elements in Set B

Number of Elements in Set B

Go 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

Number of Elements in Symmetric Difference of Two Sets A and B

Go 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 B

Number of Elements in Complement of Set A

Go Number of Elements in Complement of Set A = Number of Elements in Universal Set-Number of Elements in Set A

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

Go No. of Elements in Symmetric Difference of A and B = Number of Elements in A-B+Number of Elements in B-A

Number of Elements in Difference of Two Sets A and B

Go Number of Elements in A-B = Number of Elements in Set A-Number of Elements in Intersection of A and B

Number of Elements in Union of Two Disjoint Sets A and B

Go Number of Elements in Union of A and B = Number of Elements in Set A+Number of Elements in Set B

Number of Elements in Power Set of Set A

Go Number of Elements in Power Set of A = 2^(Number of Elements in Set A)

Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B) 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
n_(AΔB) = n_(A)+n_(B)-2*n_(A∩B)

What is a Set?

Mathematically a Set is a well defined collection of objects. For example, "the collection of all people in a village" is a Set. But, "the collection of all rich people in a village" is not a Set, because the term 'rich' is not well defined and it is subjective. Hence it is not a Set in Mathematics. The Set theory - branch of Mathematics dealing with the study of Sets and their properties is a fundamental area of basic Mathematics. The Sets which has a finite number of elements are called Finite Sets. If a Set has infinitely many elements but countable, then it is called as Denumerable Set. And if the elements are uncountably many, then it is called an Uncountable Set.

How to Calculate 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) calculator 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 calculate 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 calculate Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B) using this online calculator? To use this online calculator 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. Here is how the Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B) calculation can be explained with given input values -> 13 = 10+15-2*6.

FAQ

What is Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(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 and is represented as n_(AΔB) = n_(A)+n_(B)-2*n_(A∩B) or 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. Number of Elements in Set A is the total count of elements present in the given finite set A, Number of Elements in Set B is the total count of elements present in the given finite set 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.

How to calculate Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(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 is calculated using 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 calculate Number of Elements in Symmetric Difference of Two Sets A and B given n(A) and n(B), you need 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)). With our tool, you need to enter the respective value for Number of Elements in Set A, Number of Elements in Set B & Number of Elements in Intersection of A and B and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate No. of Elements in Symmetric Difference of A and B?

In this formula, No. of Elements in Symmetric Difference of A and B uses Number of Elements in Set A, Number of Elements in Set B & Number of Elements in Intersection of A and B. We can use 2 other way(s) to calculate the same, which is/are as follows -

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 B
No. of Elements in Symmetric Difference of A and B = Number of Elements in A-B+Number of Elements in B-A

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