MathDB
Problems
Contests
National and Regional Contests
Peru Contests
Peru Cono Sur TST
2016 Peru Cono Sur TST
P1
A manual count doesn't seem abusive... right?
A manual count doesn't seem abusive... right?
Source: 2016 Peru Cono Sur TST P1
July 9, 2023
number theory
Problem Statement
How many multiples of
11
11
11
of four digits, of the form
a
b
c
d
‾
\overline{abcd}
ab
c
d
, satisfy that
a
≠
b
,
b
≠
c
a\neq b, b\neq c
a
=
b
,
b
=
c
and
c
≠
a
c\neq a
c
=
a
?
Back to Problems
View on AoPS