There are three types of fencing:
Foil: this style requires the most precision and finesse, the target area goes from the shoulders down to crotch, excluding arms and legs. In order to score you must have right of way.
Epee: this style of fencing is much simpler, anywhere on your opponent is on target and i believe (might be mistaken) both fencers can score a point during one action.
Sabre: the most brutal of the three, in Sabre you can score with both the point and the blade which means you can slash, which hurts.the target area is everything from the head down to the waist line including arms and the sword arm wrist but not including the hand.