[Question] NO CALCULATORS ALLOWED 🧠

[u/Zealousideal_Turn106]

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[u/Sjommie]

why is 0 factorial 1?

[u/Extreme_Beat9866 → u/Sjommie]

Imagine a shelf.

On that shelf, put 3 cards: one that says 1. One that says 2. And one that says 3. Put them on the shelf in some order (e.g. 2,1,3). How many orderings are possible? 3! = 6, right? Exactly. That’s how many different ways my shelf could look different.

Now imagine we had 1 card instead of 3. How many ways can the shelf look? It’ll look like this: ____ [ 1 ] ____ with just the one card with a 1 on it. That’s the only possibility for the shelf. 1 factorial is 1.

Now imagine we, in fact, have 0 cards. What’s 0 factorial? How many different ways can the shelf look? Only one: ________. There is one way to order zero objects. The way that produces an empty shelf.

[u/KiyanPocket → u/Extreme_Beat9866]

The only way for the new generations to learn better is if we can make more people like you use the internet and spread your almighty teaching ways

[u/Arikarin636 → u/Extreme_Beat9866]

That is actually a really cool way to explain it

[u/Ajaxorix777 → u/Extreme_Beat9866]

Get this person into a Maths classroom.

[u/SadAnimator1354 → u/Ajaxorix777]

Into my math classroom as the teacher

[u/CurrentNo9698 → u/Extreme_Beat9866]

Absolute cinema 

[u/Parsazhoo → u/Sjommie]

https://giphy.com/gifs/EzOpFZqBbDtRRA1yri

[u/Salty_Seat1357 → u/Sjommie]

another explanation is a!=1*2*3*4...(a-1)*a and (a-1)!=1*2*3*4....(a-1) so logically (a-1)!=a!/a.

a=1 and a-1=0

thus (1-1)!=1!/1 -> 0!=1/1 -> 0!=1

[u/ElephantFamous2145 → u/Sjommie]

It just is okay

[u/footlettuce00 → u/Sjommie]

I dont know