Number of Elements in Set B Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
n(B) = n(A∪B)+n(A∩B)-n(A)
This formula uses 4 Variables
Variables Used
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 Union of A and B - Number of Elements in Union of A and B is the total count of elements present in at least one of the two given finite sets A and 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.
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.
STEP 1: Convert Input(s) to Base Unit
Number of Elements in Union of A and B: 19 --> No Conversion Required
Number of Elements in Intersection of A and B: 6 --> No Conversion Required
Number of Elements in Set A: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n(B) = n(A∪B)+n(A∩B)-n(A) --> 19+6-10
Evaluating ... ...
n(B) = 15
STEP 3: Convert Result to Output's Unit
15 --> No Conversion Required
FINAL ANSWER
15 <-- Number of Elements in Set B
(Calculation completed in 00.004 seconds)

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Number of Elements in Set B Formula

​LaTeX ​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
n(B) = n(A∪B)+n(A∩B)-n(A)

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 Set B?

Number of Elements in Set B calculator uses 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 to calculate the Number of Elements in Set B, The Number of Elements in Set B formula is defined as the total count of elements present in the given finite set B. Number of Elements in Set B is denoted by n(B) symbol.

How to calculate Number of Elements in Set B using this online calculator? To use this online calculator for Number of Elements in Set B, enter Number of Elements in Union of A and B (n(A∪B)), Number of Elements in Intersection of A and B (n(A∩B)) & Number of Elements in Set A (n(A)) and hit the calculate button. Here is how the Number of Elements in Set B calculation can be explained with given input values -> 14 = 19+6-10.

FAQ

What is Number of Elements in Set B?
The Number of Elements in Set B formula is defined as the total count of elements present in the given finite set B and is represented as n(B) = n(A∪B)+n(A∩B)-n(A) or 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 Union of A and B is the total count of elements present in at least one of the two given finite sets 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 & Number of Elements in Set A is the total count of elements present in the given finite set A.
How to calculate Number of Elements in Set B?
The Number of Elements in Set B formula is defined as the total count of elements present in the given finite set B is calculated using 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. To calculate Number of Elements in Set B, you need Number of Elements in Union of A and B (n(A∪B)), Number of Elements in Intersection of A and B (n(A∩B)) & Number of Elements in Set A (n(A)). With our tool, you need to enter the respective value for Number of Elements in Union of A and B, Number of Elements in Intersection of A and B & Number of Elements in Set A 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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