Charging by Contact
Note that the charge in the conductor is always same as the charging source.
Watch the video below (start from 2:34) to have a clear idea about this process.
Charging by Induction
Induction is a method used to charge a conductor without any contact with the charging body.
Case 1: Charging a single metal conductor
Watch the video below to have a visual idea about this process. Bear in mind that the charging source is a negatively charged rod in this video.
Case 2: Charging two metal conductors
Note that we have to separate them first before removing the rod. If no, they will neutralize themselves and become neutral.