FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Number of Symmetric Relations on Set A Formula

Fx Copy

LaTeX Copy

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. Check FAQs

N Symmetric Relations = 2^{\frac{n (A) \cdot (n (A) + 1)}{2}}

N_{Symmetric Relations} - Number of Symmetric Relations on Set A?n_(A) - Number of Elements in Set A?

Number of Symmetric Relations on Set A Example

With values

With units

Only example

Here is how the Number of Symmetric Relations on Set A equation looks like with Values.

Here is how the Number of Symmetric Relations on Set A equation looks like with Units.

Here is how the Number of Symmetric Relations on Set A equation looks like.

64 = 2^{\frac{3 \cdot (3 + 1)}{2}}

64 = 2^{\frac{3 \cdot (3 + 1)}{2}}

64 = 2^{\frac{3 \cdot (3 + 1)}{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Sets, Relations and Functions » Category

Relations and Functions » fx Number of Symmetric Relations on Set A

Number of Symmetric Relations on Set A Solution

Follow our step by step solution on how to calculate Number of Symmetric Relations on Set A?

FIRST Step Consider the formula

N Symmetric Relations = 2^{\frac{n (A) \cdot (n (A) + 1)}{2}}

Next Step Substitute values of Variables

∴

N Symmetric Relations = 2^{\frac{3 \cdot (3 + 1)}{2}}

Next Step Prepare to Evaluate

∴

N Symmetric Relations = 2^{\frac{3 \cdot (3 + 1)}{2}}

LAST Step Evaluate

∴

N Symmetric Relations = 64

Number of Symmetric Relations on Set A Formula Elements

Variables

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.

Symbol: N_{Symmetric Relations}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Symmetric Relations on Set A

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.

Symbol: n_(A)

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Elements in Set A

Other formulas in Relations category

Go Number of Relations from Set A to Set B

N Relations(A-B) = 2^{n (A) \cdot n (B)}

Go Number of Reflexive Relations on Set A

N Reflexive Relations = 2^{n (A) \cdot (n (A) - 1)}

Go Number of Relations on Set A

N Relations(A) = 2^{{n (A)}^{2}}

Go Number of Asymmetric Relations on Set A

N Asymmetric Relations = 3^{\frac{n (A) \cdot (n (A) - 1)}{2}}

How to Evaluate Number of Symmetric Relations on Set A?

Number of Symmetric Relations on Set A evaluator uses Number of Symmetric Relations on Set A = 2^((Number of Elements in Set A*(Number of Elements in Set A+1))/2) to evaluate 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 N_{Symmetric Relations} symbol.

How to evaluate Number of Symmetric Relations on Set A using this online evaluator? To use this online evaluator for Number of Symmetric Relations on Set A, enter Number of Elements in Set A (n_(A)) and hit the calculate button.

FAQs on Number of Symmetric Relations on Set A

What is the formula to find Number of Symmetric Relations on Set A?

The formula of Number of Symmetric Relations on Set A is expressed as Number of Symmetric Relations on Set A = 2^((Number of Elements in Set A*(Number of Elements in Set A+1))/2). Here is an example- 64 = 2^((3*(3+1))/2).

How to calculate Number of Symmetric Relations on Set A?

With Number of Elements in Set A (n_(A)) we can find Number of Symmetric Relations on Set A using the formula - Number of Symmetric Relations on Set A = 2^((Number of Elements in Set A*(Number of Elements in Set A+1))/2).

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit