A fence includes an upright post and one or more rails radiating from the post. An arrangement for connecting the post to the rail or rails includes a carrier that can be mounted on the post and one or more holders for the rail or rails. Each holder is attached to the carrier by a hinge that allows the respective holder to pivot or rotate relative to the carrier in two different planes. An accessory bracket for flexible rails and a gate hinge may also be connected to the carrier.