Number of Symmetric Relations on Set A Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Symmetric Relations on Set A = 2^((Number of Elements in Set A*(Number of Elements in Set A+1))/2)
NSymmetric Relations = 2^((n(A)*(n(A)+1))/2)
This formula uses 2 Variables
Variables Used
Number of Symmetric Relations on Set A - Number of Symmetric Relations on Set A is the number of binary relations R on a set A which are symmetric, which means for all x and y in A, if (x,y) ∈ R, then (y,x) ∈ R.
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 Set A: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
NSymmetric Relations = 2^((n(A)*(n(A)+1))/2) --> 2^((3*(3+1))/2)
Evaluating ... ...
NSymmetric Relations = 64
STEP 3: Convert Result to Output's Unit
64 --> No Conversion Required
FINAL ANSWER
64 <-- Number of Symmetric Relations on Set A
(Calculation completed in 00.004 seconds)

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Indian Institute of Technology (IIT), Guwahati
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11 Relations Calculators

Number of Antisymmetric Relations on Set A
Go No. of Antisymmetric Relations on A = 2^(Number of Elements in Set A)*3^((Number of Elements in Set A*(Number of Elements in Set A-1))/2)
Number of Relations on Set A which are both Reflexive and Antisymmetric
Go No. of Reflexive and Antisymmetric Relations on A = 3^((Number of Elements in Set A*(Number of Elements in Set A-1))/2)
Number of Relations on Set A which are both Reflexive and Symmetric
Go No. of Reflexive and Symmetric Relations on A = 2^((Number of Elements in Set A*(Number of Elements in Set A-1))/2)
Number of Symmetric Relations on Set A
Go Number of Symmetric Relations on Set A = 2^((Number of Elements in Set A*(Number of Elements in Set A+1))/2)
Number of Non Empty Relations from Set A to Set B
Go Number of Non Empty Relations from A to B = 2^(Number of Elements in Set A*Number of Elements in Set B)-1
Number of Reflexive Relations on Set A
Go Number of Reflexive Relations on Set A = 2^(Number of Elements in Set A*(Number of Elements in Set A-1))
Number of Asymmetric Relations on Set A
Go Number of Asymmetric Relations = 3^((Number of Elements in Set A*(Number of Elements in Set A-1))/2)
Number of Irreflexive Relations on Set A
Go Number of Irreflexive Relations = 2^(Number of Elements in Set A*(Number of Elements in Set A-1))
Number of Relations from Set A to Set B
Go Number of Relations from A to B = 2^(Number of Elements in Set A*Number of Elements in Set B)
Number of Relations on Set A which are both Symmetric and Antisymmetric
Go No. of Symmetric and Antisymmetric Relations on A = 2^(Number of Elements in Set A)
Number of Relations on Set A
Go Number of Relations on A = 2^(Number of Elements in Set A^2)

Number of Symmetric Relations on Set A Formula

Number of Symmetric Relations on Set A = 2^((Number of Elements in Set A*(Number of Elements in Set A+1))/2)
NSymmetric Relations = 2^((n(A)*(n(A)+1))/2)

What is a Relation?

A Relation in mathematics are used to describe a connection between the elements of two sets. They help to map the elements of one set (known as the domain) to elements of another set (called the range) such that the resulting ordered pairs are of the form (input, output). It is is a subset of the cartesian product of two sets. Suppose there are two sets given by X and Y. Let x ∈ X (x is an element of set X) and y ∈ Y. Then the cartesian product of X and Y, represented as X × Y, is given by the collection of all possible ordered pairs (x, y). In other words, a relation says that every input will produce one or more outputs.

How to Calculate Number of Symmetric Relations on Set A?

Number of Symmetric Relations on Set A calculator uses Number of Symmetric Relations on Set A = 2^((Number of Elements in Set A*(Number of Elements in Set A+1))/2) to calculate the Number of Symmetric Relations on Set A, The Number of Symmetric Relations on Set A formula is defined as the number of binary relations R on a set A which are symmetric, which means for all x and y in A, if (x,y) ∈ R , then (y,x) ∈ R. Number of Symmetric Relations on Set A is denoted by NSymmetric Relations symbol.

How to calculate Number of Symmetric Relations on Set A using this online calculator? To use this online calculator for Number of Symmetric Relations on Set A, enter Number of Elements in Set A (n(A)) and hit the calculate button. Here is how the Number of Symmetric Relations on Set A calculation can be explained with given input values -> 64 = 2^((3*(3+1))/2).

FAQ

What is Number of Symmetric Relations on Set A?
The Number of Symmetric Relations on Set A formula is defined as the number of binary relations R on a set A which are symmetric, which means for all x and y in A, if (x,y) ∈ R , then (y,x) ∈ R and is represented as NSymmetric Relations = 2^((n(A)*(n(A)+1))/2) or Number of Symmetric Relations on Set A = 2^((Number of Elements in Set A*(Number of Elements in Set A+1))/2). Number of Elements in Set A is the total count of elements present in the given finite set A.
How to calculate Number of Symmetric Relations on Set A?
The Number of Symmetric Relations on Set A formula is defined as the number of binary relations R on a set A which are symmetric, which means for all x and y in A, if (x,y) ∈ R , then (y,x) ∈ R is calculated using Number of Symmetric Relations on Set A = 2^((Number of Elements in Set A*(Number of Elements in Set A+1))/2). To calculate Number of Symmetric Relations on Set A, you need Number of Elements in Set A (n(A)). With our tool, you need to enter the respective value for 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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