Containers in daemonized process

Dear, I would like to know if I can run multiple containers of different images in the background? For example: two containers running at the same time in daemonized process. Is there any problem? Can cause conflits of IPs?

I am new user of docker, for it my simple question.

Thanks for any information you can provide.

Leandro.

that is the whole design of docker, to run multiple containers in the background, on a private network known only to the docker host