Difference between revisions of "2003 AIME I Problems/Problem 13"
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== Problem == | == Problem == | ||
| + | Let <math> N </math> 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 <math> N </math> is divided by 1000. | ||
== Solution == | == Solution == | ||
Revision as of 19:11, 6 August 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.
