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

STEP 0: Pre-Calculation Summary
Formula Used
Number of Elements in A-B = Number of Elements in Set A-Number of Elements in Intersection of A and B
n(A-B) = n(A)-n(A∩B)
This formula uses 3 Variables
Variables Used
Number of Elements in A-B - Number of Elements in A-B is the total count of elements that are present in a given set A and are not present in another given set B.
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 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 Intersection of A and B: 6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n(A-B) = n(A)-n(A∩B) --> 10-6
Evaluating ... ...
n(A-B) = 4
STEP 3: Convert Result to Output's Unit
4 --> No Conversion Required
FINAL ANSWER
4 <-- Number of Elements in A-B
(Calculation completed in 00.004 seconds)

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

​LaTeX ​Go
Number of Elements in A-B = Number of Elements in Set A-Number of Elements in Intersection of A and B
n(A-B) = n(A)-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 Difference of Two Sets A and B?

Number of Elements in Difference of Two Sets A and B calculator uses Number of Elements in A-B = Number of Elements in Set A-Number of Elements in Intersection of A and B to calculate the Number of Elements in A-B, The Number of Elements in Difference of Two Sets A and B formula is defined as the total count of elements that are present in a given set A and are not present in another given set B. Number of Elements in A-B is denoted by n(A-B) symbol.

How to calculate Number of Elements in Difference of Two Sets A and B using this online calculator? To use this online calculator for Number of Elements in Difference of Two Sets A and B, enter Number of Elements in Set A (n(A)) & 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 Difference of Two Sets A and B calculation can be explained with given input values -> 4 = 10-6.

FAQ

What is Number of Elements in Difference of Two Sets A and B?
The Number of Elements in Difference of Two Sets A and B formula is defined as the total count of elements that are present in a given set A and are not present in another given set B and is represented as n(A-B) = n(A)-n(A∩B) or 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 Set A is the total count of elements present in the given finite set A & 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 Difference of Two Sets A and B?
The Number of Elements in Difference of Two Sets A and B formula is defined as the total count of elements that are present in a given set A and are not present in another given set B is calculated using Number of Elements in A-B = Number of Elements in Set A-Number of Elements in Intersection of A and B. To calculate Number of Elements in Difference of Two Sets A and B, you need Number of Elements in Set A (n(A)) & 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 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.
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