six black beads and 9 white beads are strung onto a circuit

six black beads and 9 white beads are strung onto a circuit wire. this necklace can be ratated and turned over. how many different types of necklaces can be made assuming that beads of the same color are indistinguishable?
write the inventory   polynomials for it?

Solution

Total beads is 6+9=15

There is no condition given so total arrangements are (15-1)!/2=14!/2