How to let administrators AND anonymous users create new accounts? I need to let anonymous users create his/her own accounts. But also I wish to create accounts when logged in as administrator. Is it possible such configuration? In admin/config/people/accounts is not possible, it just let you choose between exclusive options...
You can always create users as an administrator by going to admin/people/create.

So, in admin/config/people/accounts, in the Who can register accounts? you can choose Visitors and you will be good to go.