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The given equation shows the number of possible distinct passwords, $p$, of length, $L$, where each character is selected from $n$ permitted characters.$\newline$$$p=n^{L}$$$\newline$How does the number, $p$, of possible distinct passwords change if the length is increased by $3$ characters?$\newline$Choose $1$ answer:$\newline$(A) $p$ is multiplied by $n^{3}$.$\newline$(B) $p$ is multiplied by $3 n$.$\newline$(C) $p$ is cubed.$\newline$(D) $p$ is multiplied by $3$ .