A gate-latching assembly is configured for utilization with a gate assembly. The gate assembly includes a stationary gate post configured to be mounted to, and to extend from, a working surface once the stationary gate post is mounted to the working surface, and in which the gate assembly also includes a movable gate door configured to be movable relative to the stationary gate post. There is provided a combination for utilization with the gate assembly. The combination includes any one of (A) a striker base assembly and a striker member, (B) a latch base assembly and a latch assembly, and/or (C) a striker base assembly, a striker member, a latch base assembly and a latch assembly.