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Mathematics
Mathematics
Problem
Let
A
,
M
,
C
A, M, C
A
,
M
,
C
be nonnegative integers with
A
+
M
+
C
=
10
A+M+C=10
A
+
M
+
C
=
10
. Determine the maximum value of
A
⋅
M
⋅
C
+
A
⋅
M
+
M
⋅
C
+
C
⋅
A
A \cdot M \cdot C+A \cdot M+M \cdot C+C \cdot A
A
⋅
M
⋅
C
+
A
⋅
M
+
M
⋅
C
+
C
⋅
A
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