## Number of Elements in Intersection of Two Sets Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Elements in Intersection of Two Sets = Number of Elements in Set A+Number of Elements in Set B-Number of Elements in Union of Two Sets
nA∩B = nA+nB-nA∪B
This formula uses 4 Variables
Variables Used
Number of Elements in Intersection of Two Sets - Number of Elements in Intersection of Two Sets 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.
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 Two Sets - Number of Elements in Union of Two Sets is the total count of elements present in at least one of the two 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 Union of Two Sets: 20 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
nA∩B = nA+nB-nA∪B --> 10+15-20
Evaluating ... ...
nA∩B = 5
STEP 3: Convert Result to Output's Unit
5 --> No Conversion Required
5 <-- Number of Elements in Intersection of Two Sets
(Calculation completed in 00.000 seconds)
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## < 1 Intersection of Sets Calculators

Number of Elements in Intersection of Two Sets
Number of Elements in Intersection of Two Sets = Number of Elements in Set A+Number of Elements in Set B-Number of Elements in Union of Two Sets

## Number of Elements in Intersection of Two Sets Formula

Number of Elements in Intersection of Two Sets = Number of Elements in Set A+Number of Elements in Set B-Number of Elements in Union of Two Sets
nA∩B = nA+nB-nA∪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 Intersection of Two Sets?

Number of Elements in Intersection of Two Sets calculator uses Number of Elements in Intersection of Two Sets = Number of Elements in Set A+Number of Elements in Set B-Number of Elements in Union of Two Sets to calculate the Number of Elements in Intersection of Two Sets, Number of Elements in Intersection of Two Sets formula is defined as the total count of common elements present in both of the given finite sets A and B. Number of Elements in Intersection of Two Sets is denoted by nA∩B symbol.

How to calculate Number of Elements in Intersection of Two Sets using this online calculator? To use this online calculator for Number of Elements in Intersection of Two Sets, enter Number of Elements in Set A (nA), Number of Elements in Set B (nB) & Number of Elements in Union of Two Sets (nA∪B) and hit the calculate button. Here is how the Number of Elements in Intersection of Two Sets calculation can be explained with given input values -> 5 = 10+15-20.

### FAQ

What is Number of Elements in Intersection of Two Sets?
Number of Elements in Intersection of Two Sets formula is defined as the total count of common elements present in both of the given finite sets A and B and is represented as nA∩B = nA+nB-nA∪B or Number of Elements in Intersection of Two Sets = Number of Elements in Set A+Number of Elements in Set B-Number of Elements in Union of Two Sets. 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 Union of Two Sets is the total count of elements present in at least one of the two given finite sets A and B.
How to calculate Number of Elements in Intersection of Two Sets?
Number of Elements in Intersection of Two Sets formula is defined as the total count of common elements present in both of the given finite sets A and B is calculated using Number of Elements in Intersection of Two Sets = Number of Elements in Set A+Number of Elements in Set B-Number of Elements in Union of Two Sets. To calculate Number of Elements in Intersection of Two Sets, you need Number of Elements in Set A (nA), Number of Elements in Set B (nB) & Number of Elements in Union of Two Sets (nA∪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 Union of Two Sets 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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