2006 AIME I Problems/Problem 2
Revision as of 23:23, 30 June 2006 by Pianoforte (talk | contribs)
Problem
Let set 
be a 90-element subset of 
and let 
be the sum of the elements of 
Find the number of possible values of 
Solution
The smallest S is 
. The largest S is 
. All numbers between 4095 and 4995 are possible values of S, so the number of possible values of S is 
.
