Rainbow-colorable hypergraph

Okay kiddo, let me explain what a rainbow-colorable hypergraph is. You know what a graph is, right? It's a bunch of dots that are connected by lines. Well, a hypergraph is kind of like a graph, but the lines can connect more than just two dots.

So, let's say that we have a hypergraph with a bunch of dots and lines connecting them. Now, when we color a graph, we give each dot a color so that no two dots that are connected by a line have the same color. For example, if we have a graph with four dots connected in a square shape, we can color them like this:

```
Red -- Green
| |
Blue-- Yellow
```

Notice how no two dots that are connected by a line have the same color.

Now, a hypergraph is rainbow-colorable if we can color each dot with a different color so that no two dots that are connected by a line have the same color. But here's the tricky part, we need to do this for every possible way of connecting the dots.

Imagine a hypergraph with three dots A, B, C and three lines that connect them like this:

```
A -- B -- C
| | |
D E F
```

We can color this graph like this:

```
A: Red
B: Blue
C: Green
D: Yellow
E: Orange
F: Purple
```

Notice how all the colors are different for every dot that is connected by a line.

So, that's what a rainbow-colorable hypergraph is, a graph where every possible way of connecting the dots can be colored so that no two dots that are connected by a line have the same color.