2006 AIME I Problems/Problem 2
From AoPSWiki
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 is 
. The largest is 
. All numbers between 
and 
are possible values of S, so the number of possible values of S is 
.
See also
| 2006 AIME I (Problems • Resources) | ||
| Preceded by Problem 1 | Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
