Difference between revisions of "2006 AIME I Problems/Problem 2"
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== See also == | == See also == | ||
* [[2006 AIME I Problems]] | * [[2006 AIME I Problems]] | ||
+ | * [[Combinatorics]] | ||
[[Category:Intermediate Combinatorics Problems]] | [[Category:Intermediate Combinatorics Problems]] |
Revision as of 17:15, 18 July 2006
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
.