MathDB
Problems
Contests
National and Regional Contests
India Contests
India IOQM
2020-21 IOQM India
26
26
Part of
2020-21 IOQM India
Problems
(1)
colorings of a figure IOQM 2021 P26
Source:
1/17/2021
In the figure below ,
4
4
4
of the
6
6
6
disks are to be colored black and
2
2
2
are to be colored white. Two colorings that can be obtained from one another by rotation or reflection of the entire figure are considered the same. https://i.imgur.com/57nQwBI.jpgThere are only four such colorings for the given two colors, as shown.In how many ways can we color the
6
6
6
disks such that
2
2
2
are colored black ,
2
2
2
are colored white,
2
2
2
are colored blue with the given identification condition?