# 2016 is absolutely awesome 13

A total of 2016 tickets, numbered 1, 2, 3, 4, ... , 2015, 2016, are placed in an empty bag.

Alberto removes ticket $$x$$ from the bag. Beck then removes ticket $$y$$ from the bag. Finally, Chris removes ticket $$z$$ from the bag.

They notice that $$x<y<z$$ and $$x+y+z=6000$$. In how many ways could this happen?

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