1. A Prom committee is to include 2 teachers and 6 students. How many different committees can be formed if there are 5 teachers and 9 students
available?

2. Steven asked 7 people if they want to go to the movies. Everyone said “maybe”. How many different groups of moviegoers are possible?

3. How many different batting orders are possible for a 9-player baseball team, if Sarah must bat last?

4. How many different 3-digit combinations are possible for a lock that has the
numbers 00 – 59 available if you already know the first digit?
5. A teacher has 9 questions she wants to put on a test. How many question orders
can she create if she insists that the easiest question and the hardest question are
side-by-side?