wrasses

Well purchased what i thought was a fairy wrasse at the local fishy store and when brought home and acclimated and put into tank low and behold it is a juvenile carpenter wrasse from what I can tell comparing it to the one in the tank already. Am thinking it is a female as the bigger carpenter flashes whenever it gets near. So far so good as both the wrasses are doing great. So to answer the question yes you can keep wrasses together and by the looks of it even the same species.