There are ten races available in World of Warcraft. They are divided into two factions, the Alliance and the Horde. Each race has different classes and abilities.
The Alliance

Human - Classes
Mage
Priest
Paladin
Rogue
Warlock
Warrior

Dwarf - Classes
Druid
Hunter
Rouge
Priest
Warrior

Gnome - Classes
Mage
Rogue
Warlock
Warrior

Night Elf - Classes
Druid
Hunter
Rogue
Priest
Warrior

Draenei - Classes
Warrior
Mage
Shaman
Hunter
Paladin
Priest

The Horde

Orc - Classes
Hunter
Rogue
Shaman
Warlock
Warrior

Tauren - Classes
Druid
Hunter
Shaman
Warrior

Troll - Classes
Hunter
Mage
Rogue
Priest
Shaman
Warrior

Undead - Classes
Mage
Priest
Rogue
Warlock
Warrior

Blood Elf - Classes
Rogue
Mage
Warlock
Hunter
Paladin
Priest