Suppose we have $3$ red beads and $3$ green beads. How many different bracelets can we make from this?
Initially I thought this was a standard circular permutation but I am getting a non integer value for some reason
Number of ways to arrange the beads in a straight line is $\frac{6!}{3!3!}$ however this number is not divisible by 6, which I assumed needed to be the case to turn it circular.