  In this paper we treat the multiparticle hopping asymmetric diffusion model
(MADM) of which initial configuration is such that a single site is occupied by
infinitely many particles and all other sites are empty. We show that the
probability distribution of the $m^{\textrm{th}}$ leftmost particle's position
at time $t$ is represented by a Fredholm determinant. Also, we consider an
exclusion process type model of the MADM, which is the (two-sided) PushASEP.
For the PushASEP with the step Bernoulli initial condition, we find a Fredholm
determinant representation of the probability distribution of the
$m^{\textrm{th}}$ leftmost particle's position at $t$.
