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Mathematics 19 Online
OpenStudy (anonymous):

0! = 0 True False Okay I definitely find this true. But I just wanted to double check and make sure it's not a trick question.

OpenStudy (anonymous):

0! = 1

OpenStudy (anonymous):

false

OpenStudy (anonymous):

False

OpenStudy (anonymous):

Urggggg I thought I was right for once /: Blaaah. Oh well, thanks for correcting me though! (=

OpenStudy (paxpolaris):

0 factorial is 1 .. isn't it?

OpenStudy (anonymous):

can anyone prove that?

OpenStudy (across):

It has to be \(1\) to avoid things like\[\frac{3!}{(3-3)!}\]from being undefined.

OpenStudy (paxpolaris):

postulate... lol

jhonyy9 (jhonyy9):

why is 1 ?

jhonyy9 (jhonyy9):

i think because every number on exponent 0 is 1

OpenStudy (across):

That's a totally different thing, though.

OpenStudy (anonymous):

proof nCr = n! /n-r! r! if n = r - similar to what across wrote

OpenStudy (across):

Plus, no one has set on what the value of \(0^0\) should be.\[\]

OpenStudy (anonymous):

another way to look at it is you can only have one way of arranging nothing!

OpenStudy (slaaibak):

I don't think there's a proof for it; it's a stated in the definition in the rule to account for what across said.

OpenStudy (anonymous):

i see what you mean its really taken to be true in order to make the factorial theory consistent

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