Difference between revisions of "2001 AIME II Problems/Problem 10"

 
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== Problem ==
 
== Problem ==
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How many positive integer multiples of 1001 can be expressed in the form <math>10^{j} - 10^{i}</math>, where <math>i</math> and <math>j</math> are integers and <math>0\leq i < j \leq 99</math>?
  
 
== Solution ==
 
== Solution ==
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{{solution}}
  
 
== See also ==
 
== See also ==
* [[2001 AIME II Problems]]
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{{AIME box|year=2001|n=II|num-b=9|num-a=11}}

Revision as of 23:43, 19 November 2007

Problem

How many positive integer multiples of 1001 can be expressed in the form $10^{j} - 10^{i}$, where $i$ and $j$ are integers and $0\leq i < j \leq 99$?

Solution

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See also

2001 AIME II (ProblemsAnswer KeyResources)
Preceded by
Problem 9
Followed by
Problem 11
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions