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1987 AIME Problems
1
1
Part of
1987 AIME Problems
Problems
(1)
"Simple" Numbers
Source:
1/22/2006
An ordered pair
(
m
,
n
)
(m,n)
(
m
,
n
)
of non-negative integers is called "simple" if the addition
m
+
n
m+n
m
+
n
in base
10
10
10
requires no carrying. Find the number of simple ordered pairs of non-negative integers that sum to
1492
1492
1492
.