2016 is absolutely awesome 13

Probability Level 5

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

Alberto removes ticket xx from the bag. Beck then removes ticket yy from the bag. Finally, Chris removes ticket zz from the bag.

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

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