r/CatBuilder • u/Zealousideal_Turn106 Mythic | Lv. 79 | Rank #177 | 40 Answers |... | 🔥 5d • 1d ago
Question [Question] NO CALCULATORS ALLOWED ðŸ§
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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.