1. A basketball squad has ten players. What expression represents the number of 5-player teams that can be made if John, the captain, must be on every team?

2. A teacher wants to divide her class into groups. How many different three-person groups can be formed from a class of 22 students?

3. Find the total number of different twelve-letter arrangements that can be formed using the letters in the word PENNSYLVANIA?

4. The letters of any word can be rearranged. Carol believes that the number of different 9-letter arrangements of the word "TENNESSEE" is greater than the number of 7-letter arrangements of the word "VERMONT". Is she correct? Justify your answer.