Which of the following statements is$/$are correct under the allowance method for recording uncollectibles?

$($i$)$ Writing off accounts receivable reduces stockholders' equity

$($ii$)$ Collection of accounts receivable previously written off increases net receivables

$($iii$)$ Recognition of bad debt expense reduces gross amount of receivables

None of the above

$($i$)$

$($i$)$ and $($ii$)$

$($i$),($ii$)$ and $($iii$)$