What is 0^0? What is 0 factorial? Please explain why.
I don't get 0^0 and 0 factorial!
I am NOT sure about this:
but I think anything ^ 0 is 1.
I know but can you explain 0 factorial?
@legendaryboy991 that's why i said i'm not sure
@legendaryboy991 is this from module 0?
No its just a question in mind
0! is 1
this is because there is 1 way to choose nothing
if i had 3! for example it would be 3 ways to choose the first thing, multiplied by 2 ways for the second thing, and then 1 way for the last thing
0! is technically 0 ways to choose the first thing (which is nothing) but there is 1 way to choose nothing
0! is equal to 1.
basically, the thought of the operation "factorial" in general is the number of ways to rearrange x amounts of things.
1!=1=1 way to arrange 1 thing
2!=2x1=2 ways to arrange 2 things
3!=3x2x1=3ways to arrange 3 things
4!=4x3x2x1=24 ways to arrange 4 things
5!=5x4x3x2x1=120 ways to arrange 5 things
6!=6x5x4x3x2x1=720 ways to arrange 6 things
and so on so forth.
When arranging 0 things, you can't multiply something down to 0, so instead, we think about it technicaly-
There's only one way to arrange nothing; by having nothing.
@legendaryboy991 I think 0^0 is undefined because even though n^0 is 1, 0^n is 0.
tru, although the most common answer is 1, it's still disputed
@Ashila I just used the calculator and it said 0^0 is 1
Btw, like 2! its 2x1 3! is 3x2x1 but 1! is 1x1 but 0! is nothing!
The answer of a calculator will display 1 for 0^0, but if you do some digging, the answer is still disputed,
Linked below is an awesome read more about the topic, the basic rundown is, if you're looking at it algebraically,
But if you're doing stuff with limits,
0^0 is an indeterminate form
also, I'm not sure what calculator you're using, but the google calculator and my Casio 115 (As well as my Casio 991) give me 0!=1, and 1! isn't nessicarily 1x1, it's just 1, i believe.
Im using the same and I clicked on that link before
its just that what do you multiply in 0! ?
like 7! is 7x6x5x4x3x2x1 (you don't need one) is 5040.
The thing is, you don't multiply anything in 0!, which is indeed, pretty confusing.
You basically look at it from a logical angle instead;
How many ways are there to arrange 'nothing'?
By having nothing.
So, taking your example, 7! you now have a number of ways to rearrange 7 things,
and 0! would be 1 because there's one way to arrange it.
0! is also what's known as an empty product (Here's a wiki article on empty products:
The thing is how to arrange 0 things????? Suppose you have nothing an you want to arrange it. That makes no sense!
@legendaryboy991 it actually sorta does if u think about it-
Hey im only going to 4th grade