Difference between revisions of "2012 AIME II Problems/Problem 7"

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== Solution ==
 
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== See Also ==
 
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{{AIME box|year=2012|n=II|num-b=6|num-a=8}}

Revision as of 14:44, 3 April 2012

Problem 7

Let $S$ be the increasing sequence of positive integers whose binary representation has exactly $8$ ones. Let $N$ be the 1000th number in $S$. Find the remainder when $N$ is divided by $1000$.


Solution

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See Also

2012 AIME II (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions