Number of Bijective Functions from Set A to Set B Calculator

✖Number of Elements in Set A is the total count of elements present in the given finite set A.ⓘ Number of Elements in Set A [n_(A)]

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✖Number of Bijective Functions from A to B is the number of functions that satisfies both the injective (one-to-one function) and surjective function (onto function) properties.ⓘ Number of Bijective Functions from Set A to Set B [N_{Bijective Functions}]

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Number of Bijective Functions from Set A to Set B

Formula

`"N"_{"Bijective Functions"} = "n"_{"(A)"}!`

Example

`"6"="3"!`

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Number of Bijective Functions from Set A to Set B Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Bijective Functions from A to B = Number of Elements in Set A!
N_{Bijective Functions} = n_(A)!
This formula uses 2 Variables

Variables Used

Number of Bijective Functions from A to B - Number of Bijective Functions from A to B is the number of functions that satisfies both the injective (one-to-one function) and surjective function (onto function) properties.
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

N_{Bijective Functions} = n_(A)! --> 3!

Evaluating ... ...

N_{Bijective Functions} = 6

STEP 3: Convert Result to Output's Unit

6 --> No Conversion Required

FINAL ANSWER

6 <-- Number of Bijective Functions from A to B

(Calculation completed in 00.004 seconds)

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< 4 Functions Calculators

Number of Relations from Set A to Set B which are not Functions

Go No. of Relations A to B which are not Functions = 2^(Number of Elements in Set A*Number of Elements in Set B)-(Number of Elements in Set B)^(Number of Elements in Set A)

Number of Injective (One to One) Functions from Set A to Set B

Go Number of Injective Functions from A to B = (Number of Elements in Set B!)/((Number of Elements in Set B-Number of Elements in Set A)!)

Number of Functions from Set A to Set B

Go Number of Functions from A to B = (Number of Elements in Set B)^(Number of Elements in Set A)

Number of Bijective Functions from Set A to Set B

Go Number of Bijective Functions from A to B = Number of Elements in Set A!

Number of Bijective Functions from Set A to Set B Formula

Number of Bijective Functions from A to B = Number of Elements in Set A!
N_{Bijective Functions} = n_(A)!

What is a Function?

A Function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).

How to Calculate Number of Bijective Functions from Set A to Set B?

Number of Bijective Functions from Set A to Set B calculator uses Number of Bijective Functions from A to B = Number of Elements in Set A! to calculate the Number of Bijective Functions from A to B, The Number of Bijective Functions from Set A to Set B formula is defined as the number of functions that satisfies both the injective (one-to-one function) and surjective function (onto function) properties, which means that for every element “b” in the codomain B, there is exactly one element “a” in the domain A, such that f(a) = b, and here the condition is number of elements A is equal to number of elements of B. Number of Bijective Functions from A to B is denoted by N_{Bijective Functions} symbol.

How to calculate Number of Bijective Functions from Set A to Set B using this online calculator? To use this online calculator for Number of Bijective Functions from Set A to Set B, enter Number of Elements in Set A (n_(A)) and hit the calculate button. Here is how the Number of Bijective Functions from Set A to Set B calculation can be explained with given input values -> 6 = 3!.

FAQ

What is Number of Bijective Functions from Set A to Set B?

The Number of Bijective Functions from Set A to Set B formula is defined as the number of functions that satisfies both the injective (one-to-one function) and surjective function (onto function) properties, which means that for every element “b” in the codomain B, there is exactly one element “a” in the domain A, such that f(a) = b, and here the condition is number of elements A is equal to number of elements of B and is represented as N_{Bijective Functions} = n_(A)! or Number of Bijective Functions from A to 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.

How to calculate Number of Bijective Functions from Set A to Set B?

The Number of Bijective Functions from Set A to Set B formula is defined as the number of functions that satisfies both the injective (one-to-one function) and surjective function (onto function) properties, which means that for every element “b” in the codomain B, there is exactly one element “a” in the domain A, such that f(a) = b, and here the condition is number of elements A is equal to number of elements of B is calculated using Number of Bijective Functions from A to B = Number of Elements in Set A!. To calculate Number of Bijective Functions from Set A to Set B, 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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