Question # 4: Suppose that every student in a discrete mathematics classof 25 students is a freshman, a sophomore, or a junior. Show that there are at least nine freshmen, at least nine sophomores, or...

Question # 4:

Suppose that every student in a discrete mathematics classof 25 students is a freshman, a

sophomore, or a junior.

1. Show that there are at least nine freshmen, at least nine sophomores, or at least nine juniors in the class.


2. Show that there are either at least three freshmen, atleast 19 sophomores, or at least five juniors in theclass.