Difference between revisions of "2003 AIME I Problems/Problem 13"
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== Solution == | == Solution == | ||
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== See also == | == See also == | ||
* [[2003 AIME I Problems/Problem 12 | Previous problem]] | * [[2003 AIME I Problems/Problem 12 | Previous problem]] | ||
* [[2003 AIME I Problems/Problem 14 | Next problem]] | * [[2003 AIME I Problems/Problem 14 | Next problem]] | ||
* [[2003 AIME I Problems]] | * [[2003 AIME I Problems]] | ||
Revision as of 22:22, 4 November 2006
Problem
Let 
be the number of positive integers that are less than or equal to 2003 and whose base-2 representation has more 1's than 0's. Find the remainder when is divided by 1000.
Solution
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