An undergraduate program offers 6 majors – Accounting (A), Finance (F), Operatio

Question

An undergraduate program offers 6 majors – Accounting (A), Finance (F), Operations (O), Marketing (M), Information systems (I), and Strategy (S). If the senior-year “integrated capstone” course arranges for teams of 4, and each of the 4 team members have to have a different major, how many different sets of majors can a team contain?

How many different sets of majors can a team contain if, due to similar skill sets, only one of the majors, A and F, can be represented on a team?

How many different sets of majors can a team contain if, due to the complexity of the projects involved, there must be either an I or an S (or both) on the team?

Explanation / Answer

a)Different Sets=6C4=15 sets

b)Sets->2*5C4=10 sets

c)Here we remove the set with no I or S

Sets->6C4-4C4=15-1=14sets

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