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Number of Relations on Set A which are both Reflexive and Symmetric Formula

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No. of Reflexive and Symmetric Relations on A is the number of binary relations R on a set A which are both reflexive and symmetric. Check FAQs

N Reflexive & Symmetric = 2^{\frac{n (A) \cdot (n (A) - 1)}{2}}

N_{Reflexive & Symmetric} - No. of Reflexive and Symmetric Relations on A?n_(A) - Number of Elements in Set A?

Number of Relations on Set A which are both Reflexive and Symmetric Example

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Here is how the Number of Relations on Set A which are both Reflexive and Symmetric equation looks like with Values.

Here is how the Number of Relations on Set A which are both Reflexive and Symmetric equation looks like with Units.

Here is how the Number of Relations on Set A which are both Reflexive and Symmetric equation looks like.

8 = 2^{\frac{3 \cdot (3 - 1)}{2}}

8 = 2^{\frac{3 \cdot (3 - 1)}{2}}

8 = 2^{\frac{3 \cdot (3 - 1)}{2}}

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Number of Relations on Set A which are both Reflexive and Symmetric Solution

Follow our step by step solution on how to calculate Number of Relations on Set A which are both Reflexive and Symmetric?

FIRST Step Consider the formula

N Reflexive & Symmetric = 2^{\frac{n (A) \cdot (n (A) - 1)}{2}}

Next Step Substitute values of Variables

∴

N Reflexive & Symmetric = 2^{\frac{3 \cdot (3 - 1)}{2}}

Next Step Prepare to Evaluate

∴

N Reflexive & Symmetric = 2^{\frac{3 \cdot (3 - 1)}{2}}

LAST Step Evaluate

∴

N Reflexive & Symmetric = 8

Number of Relations on Set A which are both Reflexive and Symmetric Formula Elements

Variables

No. of Reflexive and Symmetric Relations on A

No. of Reflexive and Symmetric Relations on A is the number of binary relations R on a set A which are both reflexive and symmetric.

Symbol: N_{Reflexive & Symmetric}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find No. of Reflexive and Symmetric Relations on 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

Credits

Created by Nikita Salampuria

The National Institute of Engineering (NIE), Mysuru

Nikita Salampuria has created this Formula and 25+ more formulas!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Formula and 1500+ more formulas!

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 Symmetric Relations on Set A

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

Go Number of Relations on Set A

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

How to Evaluate Number of Relations on Set A which are both Reflexive and Symmetric?

Number of Relations on Set A which are both Reflexive and Symmetric evaluator uses No. of Reflexive and Symmetric Relations on A = 2^((Number of Elements in Set A*(Number of Elements in Set A-1))/2) to evaluate the No. of Reflexive and Symmetric Relations on A, The Number of Relations on Set A which are both Reflexive and Symmetric formula is defined as the number of binary relations R on a set A which are both reflexive and symmetric. No. of Reflexive and Symmetric Relations on A is denoted by N_{Reflexive & Symmetric} symbol.

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

FAQs on Number of Relations on Set A which are both Reflexive and Symmetric

What is the formula to find Number of Relations on Set A which are both Reflexive and Symmetric?

The formula of Number of Relations on Set A which are both Reflexive and Symmetric is expressed as No. of Reflexive and Symmetric Relations on A = 2^((Number of Elements in Set A*(Number of Elements in Set A-1))/2). Here is an example- 2 = 2^((3*(3-1))/2).

How to calculate Number of Relations on Set A which are both Reflexive and Symmetric?

With Number of Elements in Set A (n_(A)) we can find Number of Relations on Set A which are both Reflexive and Symmetric using the formula - No. of Reflexive and Symmetric Relations on A = 2^((Number of Elements in Set A*(Number of Elements in Set A-1))/2).

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