ELI5: Explain Like I'm 5

3-dimensional matching

Are you familiar with matching games, where you pair similar items together? For example, matching socks or matching pairs of cards?

Well, 3-dimensional matching is like a more complicated version of that. Instead of just matching pairs of things, 3-dimensional matching involves matching sets of three items that have certain rules.

Imagine you have three sets of items: Set A, Set B, and Set C. Each set has a bunch of items in it, like toys or blocks. In order to play 3-dimensional matching, you need to pick out sets of three items, one from each set (so one from Set A, one from Set B, and one from Set C). But, there are rules that you have to follow when picking out those sets.

The rules say that you can only pick out sets of items where each item is different. So, you can't have two of the same item in any set. Additionally, you can't have any sets where two of the items are the same as two of the items in another set.

It's kind of like putting together a puzzle, where each piece has to fit just right and you can't have any duplicates.

The goal of 3-dimensional matching is to see how many sets of three items you can make that follow all of the rules. It's a tricky game, but can be a fun challenge for those who love puzzles and problem solving.
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