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2014 Greece Junior Math Olympiad
4
4
Part of
2014 Greece Junior Math Olympiad
Problems
(1)
Combinatorics
Source: Archimedes Junior 2014
3/17/2020
We color the numbers
1
,
2
,
3
,
.
.
.
.
,
20
1, 2, 3,....,20
1
,
2
,
3
,
....
,
20
with two colors white and black in such a way that both colors are used. Find the number of ways, we can perform this coloring if the product of white numbers and the product of black numbers have greatest common divisor equal to
1
1
1
.
combinatorics