The word "others" calls attention to the fact that they are not the same as the twelve referred to in verse 9. For their names see 3 Nephi 19:4.
Ordained of God, and chosen. In his last discourse to the Twelve, our Lord said, in part, as recorded by John, "Ye have not chosen me, but I have chosen you, and ordained you." (John 15:16) "Chosen" (exelexamen) means selected after careful consideration. "Ordained" (ethaeka) means, to put someone into a condition to do a certain thing, as, for instance, when a ruler of a nation selects somebody and empowers him to represent the nation at home or abroad. They were "to go and bring forth fruit," relying on the promise that, "Whatsoever ye shall ask of the Father in my name, he may give it you." In Mark (3:14, 15) the mission of the Twelve is expressed thus: "And he ordained twelve, that they should be with him, and that he might send them forth to preach, and to have power to heal sicknesses, and to cast out devils [demons]" That was bringing forth "fruit."