C. Solve the following problems involving combinations.
1. There are 6 questions on Prince essay test. He only needs to
answer 3 of them, he can choose any 3 that he wants. How many
different combinations of test can Prince answer?
2. There are 6 tourists in a hotel and there are only 4 rooms available.
How many different combination will there be if the tourists booked
the rooms?
3. In how many ways can a basketball coach choose 5 players on his
team with 12 members?
4. Kaci needs 8 more classes to complete her degree. If she met the
prerequisite for all the courses, how many ways can she take 4
classes next semester.
5. How many committees of 3 can be formed from a group of 4
students.​