Let $N_f$ and $N_p$ denote the classes of languages accepted by nondeterministic finite automata and nondeterministic pushdown automata, respectively. Let $D_f$ and $D_p$ denote the classes of languages accepted by deterministic finite automata and deterministic pushdown automata respectively. Which one of the following is TRUE?

$D_f \subset N_f \text{ and } D_p \subset N_p$

$D_f \subset N_f \text{ and } D_p = N_p$

$D_f = N_f \text{ and } D_p = N_p$

$D_f =N_f \text{ and } D_p \subset N_p$