Which type of bat can make the ball go farther wooden or aluminum?

First of all, it depends how good you are or how strong you are at hitting the ball with the bat. Secondly, the specific material,weight, and how cylinderical the bat is, come into the equation.

My perception is that the aluminum bat will make the ball travel farther as with the wood, the ball could make a bit of a dent and the velocity of the ball may decrease causing it to loose a bit of speed after it is hit by the bat, (taking into account that the dent is miniscule).

Hoped this helped :)