More fun in 2015, Part 31

Consider a sequence \(\{ a_i \}\) of distinct arbitrary natural numbers of length 2013.

Find the number of possible sequences of natural numbers of length \(2013\) such that \(1\leq a_1 < a_2 < a_3 < \cdots < a_{2012}<a_{2013} \leq 2015\)

Bonus: Generalize this.

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