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2016 Greece Junior Math Olympiad
4
Easy Combinatorics
Easy Combinatorics
Source: Greece Archimedes Junior 2016
March 16, 2020
combinatorics
Problem Statement
Find the number ot 6-tuples
(
x
1
,
x
2
,
.
.
.
,
x
6
)
(x_1, x_2,...,x_6)
(
x
1
,
x
2
,
...
,
x
6
)
, where
x
i
=
0
,
1
o
r
2
x_i=0,1 or 2
x
i
=
0
,
1
or
2
and
x
1
+
x
2
+
.
.
.
+
x
6
x_1+x_2+...+x_6
x
1
+
x
2
+
...
+
x
6
is even
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