how many different bracelets can i make?

[eecs4ever]

So i have 5 beads ( you can think of them as just nodes on a string)
I have 3 colors i can choose, Red Blue and Green.

How many different bracelets can i make?

note that bracelets that are just rotations or relections of another bracelet do not count as a new bracelet.

For example, (R, G, G, G ,G ) is the same bracelet as (G, G ,G ,G, R) .

Thanks for your help =).

 

[zajbanlik]

It schould be

(5+3-1)!/5!=21

Regards

 

[eecs4ever]

Can you please explain how you arrived at your answer? Thanks.