We show that the scattering of light in the field of $N\geq 3$ static
extremal black holes is chaotic in the planar case. The relativistic dynamics
of such extremal objects reduce to that of a classical Hamiltonian system.
Certain values of the dilaton coupling then allow one to apply techniques from
symbolic dynamics and classical potential scattering. This results in a lower
bound on the topological entropy of order $\log(N-1)$, thus proving the
emergence of chaotic scattering for $N \geq 3$ black holes.