Eight blocks

Dana had the task to save the eight blocks of these rules:

1. Between two red cubes must be a different color.
2. Between two blue must be two different colors.
3. Between two green must be three different colors.
4. Between two yellow blocks must be four different colors.

In what order Dana order imposed blocks if the first block cannot be yellow? How many are solutions?

Result

n =  16

Solution:

1 BGYBRGRY
2 BGYBRGRY
3 BGYBRGRY
4 BGYBRGRY
5 BGYBRGRY
6 BGYBRGRY
7 BGYBRGRY
8 BGYBRGRY
9 BGYBRGRY
10 BGYBRGRY
11 BGYBRGRY
12 BGYBRGRY
13 BGYBRGRY
14 BGYBRGRY
15 BGYBRGRY
16 BGYBRGRY

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