When a company using the allowance method writes off a specific customer's $$100,000$ account receivable from the accounting system, which of the following is$/$are true?

$(1)$ Total stockholders' equity remains the same.

$(2)$ Total assets remain the same.

$(3)$ Total expenses remain the same.

Group of answer choices

$1,2,$ and $3$

$1$ and $3$

$2$

$1$ and $2$