Two scholarships are to be awarded to students in the science department. There were 5 chemistry majors, 4 math majors, and 4 physics majors who applied for the scholarships.

i) If the scholarships are different, how many different ways can the scholarships be given to students with different majors?

ii) If the scholarships are same, how many different ways can the scholarships be given to students with different majors?

Question

Two scholarships are to be awarded to students in the science department.   There were 5 chemistry majors, 4 math majors, and 4 physics majors who applied for the scholarships.

i)   If the scholarships are different, how many different ways can the scholarships be given to students with different majors? 

ii)   If the scholarships are same, how many different ways can the scholarships be given to students with different majors?