MathDB

In the figure below ,

4

of the

6

disks are to be colored black and

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.jpg
There are only four such colorings for the given two colors, as shown.
In how many ways can we color the

6

disks such that

2

are colored black ,

2

are colored white,

2

are colored blue with the given identification condition?

Problem Statement