  A recent nice result due to I. Pak and G. Panova is the strict unimodality of
the $q$-binomial coefficients $\binom{a+b}{b}_q$ (see \cite{PP} and also
\cite{PP2} for a slightly revised version of their theorem). Since their proof
used representation theory and Kronecker coefficients, the authors also asked
for an argument that would employ Zeilberger's KOH theorem. In this note, we
give such a proof. Then, as a further application of our method, we also
provide a short proof of their conjecture that the difference between
consecutive coefficients of $\binom{a+b}{b}_q$ can get arbitrarily large, when
we assume that $b$ is fixed and $a$ is large enough.
