Respuesta :

This still counts as a way of arranging it, so by definition, a zero factorial is equal to one, just as 1! is equal to one because there is only a single possible arrangement of this data set
CSMedrano

Answer:

you can see the factorial as many different ways, i will only show you two

  • first way

you can see  [tex]n!=\frac{(n+1)!}{n+1}[/tex]

so 0! would mean that

[tex]0!=\frac{(0+1)!}{0+1}=\frac{1!}{1} =1/1=1[/tex]

  • second way

the other way you can see factorial is as the number of ways to order n things

let's say we have

a   b and c and we want to arrange them in all possible ways so those are

abc

acb

bac

bca

cab

cba

and no more

for just a and b

we have

ab

ba

and no more

for just a

we have only

a

for no objects we have

that way, the one that it's upward, it's a bit philosophical but i hope you understand it

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