  We study gravitini zero modes in four dimensional $\mathcal{N} = 2$ pure
supergravity theory. The gravitini zero modes we study are solutions to the
Rarita-Schwinger equations of motion in the background of the purely bosonic
Majumdar-Papapetrou background. We start with a very generic ansatz for the
gravitini that involves $32$ ansatz functions and reduce the Rarita-Schwinger
equations to a set of linear coupled partial differential equations on
$\mathbf{R}^3$: the kind familiar from electromagnetism with divergences, curls
etc. We first show how the gravitini zero modes due to broken supersymmetries
arise in this set-up and how they solve the equations on $\mathbf{R}^3$. Then
we go on and obtain other solutions to these equations: the `extra' fermion
zero modes. If we count the fermion zero mode due to broken supersymmetries as
one spinor worth of solutions, we have obtained three other spinors worth of
solutions.
