A college advisor is scheduling students for six time slots, consecutively. The students she must schedule are Larissa, Melinda, Nick, Oscar, Patricia, and Quinn. Two of them are seniors and the rest are juniors. The scheduling must conform to the following conditions:
A senior must be immediately preceeded by a junior
Larissa's meeting must be before Melinda's meeting
Nick's meeting must be before Quinn's meeting
Patricia is a junior, and she must be schedued either first or last
The third meeting scheduled is with a junior
Oscar cannot be scheduled first unless Nick is scheduled third
If Larissa and Nick are juniors scheduled third and fourth respectively, which of the following could be true?