Let set \mathcal{A} be a 90 -element subset of \{1,2,3, \ldots, 100\}, and let S be the sum of the elements of \mathcal{A}. Find the number of possible values of S.
Let set \mathcal{A} be a 90 -element subset of \{1,2,3, \ldots, 100\}, and let S be the sum of the elements of \mathcal{A}. Find the number of possible values of S.