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Chess Club Photo
Discrete Math
Part 1

Your school chess club wants to take a picture with a particular arrangement. They want the three highest rated players in the center and everyone else on the two sides to be in a sequential order (either side could be ascending or descending and they don't have to be the same).

Assuming everyone has a unique ranking, how many ways can we arrange the chess club members for the photo if there are 1111 members?