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Moscow Mathematical Olympiad
1940 Moscow Mathematical Olympiad
062
MMO 062 Moscow MO 1940 \overline {abc}=a!+b! +c!
MMO 062 Moscow MO 1940 \overline {abc}=a!+b! +c!
Source:
July 18, 2019
3-digit
number theory
factorial
Problem Statement
Find all
3
3
3
-digit numbers
a
b
c
‾
\overline {abc}
ab
c
such that
a
b
c
‾
=
a
!
+
b
!
+
c
!
\overline {abc} = a! + b! + c!
ab
c
=
a
!
+
b
!
+
c
!
.
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