My friend lost 2 charms off her 7-charm bracelet. For her birthday, I bought her a new charm to replace one of the lost ones. Unfortunately,

Hi Melody,

I was willing to answer that thinking it had to do with Permutations but I didn't want to risk getting it wrong.

I think it is     $$\frac{5!}{2!}=60$$     that should take care of the 2 the same and the rotations. 

If they were set in a line it would be 6!/2 but you always take one off when they are set in a circle.

But since you also have to take care of the turning front-to-back you might need to divide this by two.

So the answer might be 30  

Just saying, the correct answer should be 30. You do need to divide by 2. 

Just saying, the correct answer should be 30. You do need to divide by 2.