Three students--Abra, Constanza, and Denise--are choosing which of five courses--French, German, Japanese, Latin, and Tagalog--to take this semester. Every course is taken by at least one student, and each student must take at least one but no more than three courses. Latin is the only course taken by more than one student. Abra takes neither French nor German. Constanza does not take any classes that Abra takes. Denise is takes Japanese and one other course. Abra takes exactly two courses.
How many courses does Constanza take?
2
If Denise takes Japanese, then Abra must take Latin and Tagalog. Since Constanza can not take any courses with Abra, that leaves only French and German available for her. Denise's second course must be Latin, since we know that Latin is taken by more than one student.