Combinatorics problem

Oct 2014
70
8
Croatia
You guys dont have Combinatorics subforum so i'm just gonna put this here.
I found some random book on the internet and there was one problem, it goes like this

"How many different necklaces of six beads can be formed using three reds, twoblues and one green?"

Here is an example of what some of those necklaces would look like for clarification Screenshot by Lightshot

My solution is 12 but i am not too sure in myself so would one of you be so kind to bother to solve this and tell me the solution?
 

HallsofIvy

MHF Helper
Apr 2005
20,249
7,909
It would be better for you to tell us how you arrived at that answer. Then we could comment on it.
 

Soroban

MHF Hall of Honor
May 2006
12,028
6,341
Lexington, MA (USA)
Hello, cabbage!

Those are very good examples, containing warnings.

The second is a rotation of the first.
The third is a reflection (flip-over) of the first.

These are the same necklace.