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

(added solution tag, capitalized also)
Line 4: Line 4:
  
 
== Solution ==
 
== Solution ==
 
+
{{solution}}
== See also ==
+
== See Also ==
 
{{AIME box|year=2012|n=II|num-b=6|num-a=8}}
 
{{AIME box|year=2012|n=II|num-b=6|num-a=8}}

Revision as of 15:44, 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

This problem needs a solution. If you have a solution for it, please help us out by adding it.

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