Consider all 1000-element subsets of the set \{1,2,3, \ldots, 2015\}. From each such subset choose the least element. The arithmetic mean of all of these least elements is \frac{p}{q}, where p and q are relatively prime positive integers. Find p+q.
Consider all 1000-element subsets of the set \{1,2,3, \ldots, 2015\}. From each such subset choose the least element. The arithmetic mean of all of these least elements is \frac{p}{q}, where p and q are relatively prime positive integers. Find p+q.