Final answer:
A level 1 barbarian has 2 rage charges, which are regained after a long rest, as per the rules in the Dungeons & Dragons Player's Handbook.
Step-by-step explanation:
The number of rage charges a level 1 barbarian has in Dungeons & Dragons, which seems to be the context of the question considering the options given, is 2. In the role-playing game, characters known as barbarians have the ability to enter a rage, which gives them various combat bonuses. At level 1, according to the Player's Handbook, a barbarian gains the ability to rage twice before they must take a long rest to regain these charges.