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

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

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