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252 teams.
18
I figured out the answer: 18+7 = 25, So 25C5 = 53,130 Teams. This assumes there are no sex restrictions on the teams (for example, "teams must include at least one boy and at least one girl"). That would be a lot more complicated, and if that's a factor you'd need to specify exactly what the restrictions are.
This is what I got: 18C3 * 7C2 + 18C4 * 7C1 + 18C5 * 7C0 = 47,124 Is this right?