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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