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

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Number of Injective Functions from A to B is the number of functions where every element of Set A is related to a distinct element of Set B such that, for all a and b in A, if f(a)=f(b), then a=b. Check FAQs

N Injective Functions = \frac{n (B)!}{(n (B) - n (A))!}

N_{Injective Functions} - Number of Injective Functions from A to B?n_(B) - Number of Elements in Set B?n_(A) - Number of Elements in Set A?

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

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Here is how the Number of Injective (One to One) Functions from Set A to Set B equation looks like with Values.

Here is how the Number of Injective (One to One) Functions from Set A to Set B equation looks like with Units.

Here is how the Number of Injective (One to One) Functions from Set A to Set B equation looks like.

24 = \frac{4!}{(4 - 3)!}

24 = \frac{4!}{(4 - 3)!}

24 = \frac{4!}{(4 - 3)!}

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

Follow our step by step solution on how to calculate Number of Injective (One to One) Functions from Set A to Set B?

FIRST Step Consider the formula

N Injective Functions = \frac{n (B)!}{(n (B) - n (A))!}

Next Step Substitute values of Variables

∴

N Injective Functions = \frac{4!}{(4 - 3)!}

Next Step Prepare to Evaluate

∴

N Injective Functions = \frac{4!}{(4 - 3)!}

LAST Step Evaluate

∴

N Injective Functions = 24

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

Variables

Number of Injective Functions from A to B

Number of Injective Functions from A to B is the number of functions where every element of Set A is related to a distinct element of Set B such that, for all a and b in A, if f(a)=f(b), then a=b.

Symbol: N_{Injective Functions}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Injective Functions from A to 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.

Symbol: n_(B)

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Elements in 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.

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 Functions category

Go Number of Functions from Set A to Set B

N Functions = {(n (B))}^{n (A)}

Go Number of Bijective Functions from Set A to Set B

N Bijective Functions = n (A)!

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

N Relations not Functions = 2^{n (A) \cdot n (B)} - {(n (B))}^{n (A)}

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

Number of Injective (One to One) Functions from Set A to Set B evaluator uses 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)!) to evaluate the Number of Injective Functions from A to B, Number of Injective (One to One) Functions from Set A to Set B is defined as the number of functions where every element of Set A is related to a distinct element of Set B, which means for all a and b in A, if f(a)=f(b), then a=b, or, equivalently, if a≠b, then f(a)≠f(b), and here the condition is number of elements B should be greater than number of elements of A. Number of Injective Functions from A to B is denoted by N_{Injective Functions} symbol.

How to evaluate Number of Injective (One to One) Functions from Set A to Set B using this online evaluator? To use this online evaluator for Number of Injective (One to One) 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.

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

What is the formula to find Number of Injective (One to One) Functions from Set A to Set B?

The formula of Number of Injective (One to One) Functions from Set A to Set B is expressed as 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)!). Here is an example- 12 = (4!)/((4-3)!).

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

With Number of Elements in Set B (n_(B)) & Number of Elements in Set A (n_(A)) we can find Number of Injective (One to One) Functions from Set A to Set B using the formula - 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)!).

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

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

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

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

Other formulas in Functions category

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

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

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