Problem
An academic department offers 8 lower level courses: {L1 , L2, .... Ls} and 10 higher level courses: {H 1. H2.....H 10 }. A valid curriculum consists of 4 lower level courses. and 3 higher level courses.
(a) How many different curricula are possible?
(b) Suppose that {H1 .... , H5} have L1 as a prerequisite, and {H6,...HlO} have L2 and L3 as prerequisites. i.e .. any curricula which involve, say, one of {H 1, ... , H5} mllst also include L1 . How many different curricula are there?
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.