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8
2012-2013 Winter OMO #8
2012-2013 Winter OMO #8
Source:
January 16, 2013
Online Math Open
Problem Statement
How many ways are there to choose (not necessarily distinct) integers
a
,
b
,
c
a,b,c
a
,
b
,
c
from the set
{
1
,
2
,
3
,
4
}
\{1,2,3,4\}
{
1
,
2
,
3
,
4
}
such that
a
(
b
c
)
a^{(b^c)}
a
(
b
c
)
is divisible by
4
4
4
?Ray Li
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