First of all, not all recruiters will have the same opportunities. There will be some overlap, I have seen it in job postings on the internet especially. I have also seen overlap between local and national recruiting agencies. But some recruiters may be exclusive to some companies. This usually happens when a client company and agency develop a strong working relationship and the candidates presented are well qualified for the positions being filled and the candidates selected do good to exceptional work consistently.

Good recruiters will talk to you first before submitting you for consideration. They will tell you everything they can except the name client company. If there are any companies that you do not want to work for you need to be sure to communicate that to them up front.

You should easily determine if a position presented to you by one recruiter is the same as one a different recruiter may also have presented to you.