TITLE: Math journal publishing work related to combinatorics, probability, counting problems etc.?
QUESTION [15 upvotes]: I'm a high school student. My peer and I have done some work on the Ballot Theorem counting problem and Catalan Numbers. We have come up with a new proof to the Ballot Theorem and we demonstrate the duality between the Ballot Theorem and Catalan Numbers. Or at least we hope the proof is new, we've scourged the net and not found work similar enough to ours. We'd like to send it a journal for a review process, and also try our shot at publishing. What are our chances at getting published, and which journal should we try in?

REPLY [14 votes]: You may want to try Combinatorics, Probability & Computing or The Electronic Journal of Combinatorics. Your chances at getting published depend on the quality of your paper.