Y'know, I thought I'd edited them into the general challenge rules, but it turns out that I'd responded to that question (that someone else had brought up) in a separate post and never did. Sorry about that! You can find my response here, but the gist is:
1. You can totally write fics that tackle multiple genres. Of course, technically, the point of the challenge is to see how many fics you can write within a short time frame (hence why there's a lot of emphasis on how brutal it's supposed to be), but I can't really penalize anyone for being creative.
2. If you write multiple fics that share a single genre, you will only earn the genre's badge for the first fic you post (just in case you were wondering).
As for your question about winning the challenge, it's less about competition or reviews and more about, "Did you manage to do these fics and do them in a way that it's absolutely recognizable that they're the genres you say they are?" It's basically like a themed NaNoWriMo, only instead of focusing on word count, you're actually focusing on fic and genre count. Hence the bit about the first point above. The challenge was actually more or less designed to pump a lot of Hoenn fics into the forum and get people excited about the games, particularly because there's not a lot of canon-based fic on Serebii. Buuuuut yeah. Long story short, you're not really competing with anyone, and you don't need to write the best fics to win. All you have to do is write enough fics to hit all of the genres. b)'')b