$[$Lost Check$]$ Jenna Nguyen teaches tennis at Smarties R US Community College. Smarties R Us requested that all of the teachers ask the students to wear T$-$shirts with "Smarties R US Community College Tennis" printed on the front on the day of the first tennis match. All of the teachers were asked to sell the shirts in class. A student, Quinn, wrote a check to Jenna for $$10$ for payment for one of the shirts. Quinn, however, put Jenna Nguyen as the payee. Jenna wanted to turn the check over to the school, so on the back of the check, she wrote, "Jenna Nguyen, without recourse." She then gave the check to the treasurer for Smarties R US Community College, Amelia. Unfortunately, the treasurer for Smarties R US dropped the check on the ground as she was going to the bank. A student, Brad, found the check and promptly took it to the bank and cashed it$.$ The treasurer, Amelia, did not want to get into trouble, so she asked Jenna to personally cover the check because she said that Jenna had endorsed the check on the back guaranteeing payment.

Would the school be able to require that Jenna cover the amount of the check based on the law of negotiable instruments?

No$,$ because the check was not properly delivered to Brad.

Yes, because she signed on the back with a blank unqualified endorsement

Yes, because she signed on the back with a special qualified endorsement:

No$,$ because she signed on the back using the words, "without recourse."

Yes, because she signed on the back regardless of the type of endorsement.