ok... for chanukah, one starts by lighting the 'shammash' or 'servant' candle (this is so that if one has the menorah in a room without much other light, that the room is NOT illuminated by the light of the menorah, which is forbidden. if the shammash is lit, then the light from that is enough to prevent any work, of any type, from being done by the rest of the lights)
after the shammash is lit, then one starts by lighting the candle, all the way to the RIGHT (as one is facing the menorah), and lights it. the second day, one lights the candle, to the left of the previous day, as well as the one from the previous day.... each day follows in turn, with the newest candle being lit first, leading to the previous ones.
so, the quick answer is that one lights 9 candles, the 8 for the 8 days of chanukah, and one for the shammash. the longer answer would be to add them all up, and figure that you need 44 candles for the entire holiday.