HCF of three numbers

Number of Functions from Set A to Set B Calculator

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Relations and Functions Sets

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Functions Relations

✖Number of Elements in Set B is the total count of elements present in the given finite set B.ⓘ Number of Elements in Set B [n_(B)]			+10% -10%
✖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)]			+10% -10%

✖Number of Functions from A to B is the number of relations from Set A to Set B in which each element of A will be mapped with only one element in B.ⓘ Number of Functions from Set A to Set B [N_Functions]

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Number of Functions from Set A to Set B Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Functions from A to B = (Number of Elements in Set B)^(Number of Elements in Set A)
N_Functions = (n_(B))^(n_(A))
This formula uses 3 Variables

Variables Used

Number of Functions from A to B - Number of Functions from A to B is the number of relations from Set A to Set B in which each element of A will be mapped with only one element in B.
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 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 B: 4 --> No Conversion Required
Number of Elements in Set A: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_Functions = (n_(B))^(n_(A)) --> (4)^(3)

Evaluating ... ...

N_Functions = 64

STEP 3: Convert Result to Output's Unit

64 --> No Conversion Required

FINAL ANSWER

64 <-- Number of Functions from A to B

(Calculation completed in 00.004 seconds)

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< Functions Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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

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

Number of Functions from Set A to Set B Formula

LaTeX Go

Number of Functions from A to B = (Number of Elements in Set B)^(Number of Elements in Set A)
N_Functions = (n_(B))^(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 Functions from Set A to Set B?

Number of Functions from Set A to Set B calculator uses Number of Functions from A to B = (Number of Elements in Set B)^(Number of Elements in Set A) to calculate the Number of Functions from A to B, Number of Functions from Set A to Set B formula is defined as the number of relations from Set A to Set B in which each element of A will be mapped with only one element in B. Number of Functions from A to B is denoted by N_Functions symbol.

How to calculate Number of Functions from Set A to Set B using this online calculator? To use this online calculator for Number of Functions from Set A to Set B, enter Number of Elements in Set B (n_(B)) & Number of Elements in Set A (n_(A)) and hit the calculate button. Here is how the Number of Functions from Set A to Set B calculation can be explained with given input values -> 64 = (4)^(3).

FAQ

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

Number of Functions from Set A to Set B formula is defined as the number of relations from Set A to Set B in which each element of A will be mapped with only one element in B and is represented as N_Functions = (n_(B))^(n_(A)) or Number of Functions from A to B = (Number of Elements in Set B)^(Number of Elements in 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 Set A is the total count of elements present in the given finite set A.

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

Number of Functions from Set A to Set B formula is defined as the number of relations from Set A to Set B in which each element of A will be mapped with only one element in B is calculated using Number of Functions from A to B = (Number of Elements in Set B)^(Number of Elements in Set A). To calculate Number of Functions from Set A to Set B, you need Number of Elements in Set B (n_(B)) & Number of Elements in Set A (n_(A)). With our tool, you need to enter the respective value for Number of Elements in Set B & 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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