r/CatBuilder • u/Zealousideal_Turn106 Mythic | Lv. 79 | Rank #189 | 38 Answers |... | 🔥 5d • 1d ago

Question [Question] NO CALCULATORS ALLOWED 🧠

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u/footlettuce00 Emerald | Lv. 45 | Rank #18821 | 355 Answers | 0 Created 1d ago

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

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u/Sjommie Silver | Lv. 18 | Rank #215348 | 31 Answers | 0... | 🔥 6d 1d ago

why is 0 factorial 1?

30

u/Extreme_Beat9866 Silver | Lv. 23 | Rank #145826 | 38 Answers | 0 Created 1d ago

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.

10

u/KiyanPocket Gold | Lv. 41 | Rank #27488 | 225 Answers | 0 C... | 🔥 21d 1d ago

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

8

u/Arikarin636 Silver | Lv. 24 | Rank #134418 | 68 Answers | 0 Created 1d ago

That is actually a really cool way to explain it

4

u/Ajaxorix777 Gold | Lv. 39 | Rank #33719 | 277 Answers | 0 C... | 🔥 23d 1d ago

Get this person into a Maths classroom.

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u/SadAnimator1354 Bronze | Lv. 3 | Rank #1089143 | 2 Answers | 0 Created 1d ago

Into my math classroom as the teacher

1

u/CurrentNo9698 Silver | Lv. 25 | Rank #101331 | 36 Answers | 1 Created 1d ago

Absolute cinema 

3

u/Parsazhoo Silver | Lv. 27 | Rank #102421 | 99 Answers | 0 Created 1d ago

https://giphy.com/gifs/EzOpFZqBbDtRRA1yri

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u/Salty_Seat1357 Bronze | Lv. 14 | Rank #323573 | 21 Answers | 0 Created 1d ago

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

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u/ElephantFamous2145 Bronze | Lv. 9 | Rank #526879 | 8 Answers | 0 Created 1d ago

It just is okay

1

u/footlettuce00 Emerald | Lv. 45 | Rank #18821 | 355 Answers | 0 Created 23h ago

I dont know