Carl writes a check for $$500,$ payable to the order of Fred. Fred owes Greta $$600,$ so Fred changes the $5$ to a $6$ and endorses it over it to Greta to pay the debt. Which of the following statements is$$true$?$

Question $2$ options:

$1)$

Greta is a holder in due course because she isn't the one who altered the instrument.

$2)$

Greta isn't a holder in due course because she didn't take for value.

$3)$

Greta is a holder in due course unless she knew Fred altered the instrument.

$4)$

Greta isn't a holder in due course because the instrument has been altered.