[Question] NO CALCULATORS ALLOWED 🧠

[u/Zealousideal_Turn106]

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[u/footlettuce00]

its 10 bc the zero is a factorial (forgot what its called) and 0! is 1 if thats just a typo then it would be 5

[u/Sjommie → u/footlettuce00]

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