They are on opposite ends of the spectrum, but both will work on deer. Partitions are designed to penetrate deep and are a good choice for larger game especially if shot from less than perfect angles. The front half expands, but the back 1/2 of the bullet stays together for deep penetration. They aren't noted for super accuracy and they have poor BC's which means they slow down quickly as range increases. But for "normal" hunting ranges are more than adequate. I think it is safe to say Partitions are never a bad choice.
Bergers are designed to penetrate 3-4" before expanding violently. If you put one broadside into any animal, even game larger than deer they put game down quickly. But they are not a good choice if you need lots of penetration for shots from bad angles.
They also tend to be extremely accurate and their high BC's maintain velocity well at extended ranges. They also expand well at slower speeds encountered at distance. A great long range bullet, but you have to pick shots more carefully.