Difference between revisions of "1987 AIME Problems/Problem 1"

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== Problem ==
 
== Problem ==
 
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An ordered pair <math>\displaystyle (m,n)</math> of non-negative integers is called "simple" if the addition <math>\displaystyle m+n</math> in base <math>\displaystyle 10</math> requires no carrying. Find the number of simple ordered pairs of non-negative integers that sum to <math>\displaystyle 1492</math>.
 
== Solution ==
 
== Solution ==
 
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{{solution}}
 
== See also ==
 
== See also ==
 
* [[1987 AIME Problems]]
 
* [[1987 AIME Problems]]
  
 
{{AIME box|year=1987|before=First<br />Question|num-a=2}}
 
{{AIME box|year=1987|before=First<br />Question|num-a=2}}

Revision as of 23:37, 10 February 2007

Problem

An ordered pair $\displaystyle (m,n)$ of non-negative integers is called "simple" if the addition $\displaystyle m+n$ in base $\displaystyle 10$ requires no carrying. Find the number of simple ordered pairs of non-negative integers that sum to $\displaystyle 1492$.

Solution

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See also

1987 AIME (ProblemsAnswer KeyResources)
Preceded by
First
Question
Followed by
Problem 2
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions