If I understand your intent correctly, you actually have one attribute, not two. That attribute is FPW and can have the value of "Yes..." or "No...".
I've rearranged your data below and it loads into Weka correctly.
@relation WILEligibilityPerFaculty
@attribute FPW {Yes-Engineering,Yes-Computing&Informatics,Yes-HumanSciences,Yes-ManagementSciences,Yes-Health&AppliedSciences,Yes-NaturalResources&SpatialSciences,No-Engineering,No-Computing&Informatics,No-HumanSciences,No-ManagementSciences,No-Health&AppliedSciences,No-NaturalResources&SpatialSciences}
@data
Yes-Engineering
Yes-Engineering
Yes-Engineering
No-Engineering
No-Engineering
No-Engineering
No-Engineering
Yes-Engineering
Yes-Engineering
No-Computing&Informatics
No-Engineering
But I may not be interpreting your intent correctly. It's possible that you want to know the department, and Yes/No. In this case, you should separate Department and Yes/No into separate attributes:
@relation WILEligibilityPerFaculty
@attribute Department {Engineering, Computing&Informatics}
@attribute YesNo {Yes, No}
@data
Engineering, Yes
Engineering, Yes
Engineering, Yes
Engineering, No
Engineering, No
Engineering, No
Engineering, No
Engineering, Yes
Engineering, Yes
Computing&Informatics, No
Engineering, No