  In this article, we investigate the asymptotic behavior of the ground state
energy of the Fr\"ohlich Hamiltonian for a Fermionic multipolaron in the
so-called strong coupling limit. We prove that it is given to leading order by
the ground state energy of the Pekar-Tomasevich functional with Fermionic
statistics, which is a much simpler model. Our main theorem is new because none
of the previous results on the strong coupling limit have taken into account
the Fermionic statistics and the spin of the electrons. A binding result for
Fr\"ohlich multipolarons is a corollary of our main theorem combined with the
binding result for multipolarons in the Pekar-Tomasevich model by the first
author and Griesemer in [AG14]. Our analysis strongly relies on the work of
Wellig [Well15] which in turn used and generalized methods developed by Lieb
and Thomas [LT97], Frank, Lieb, Seiringer and Thomas [FLST11] and Griesemer and
Wellig [GW13]. In order to take the Fermionic statistics into account, we
employ a localization method given by Lieb and Loss in [LL05].
