9. You have 30 friends you want to invite to dinner. However, your dining room table only seats 6 people. Since you will take up one seat, you can only have 5 friends at one time. You figure out that if you have a dinner party every Saturday night for 6 weeks, you can have everyone over. Now you have to decide how to form your Saturday night groups. How many different group of guest can you have? 10. You and your friends have decided to go to the dog races. There are 10 dogs in the first race. How many different ways can the dogs come in first, second, or third? 11. There are eight college basketball teams in the Big Eight Conference. How many different ways can these eight teams finish the season? (hint: order matters) 12. How many ways can 5 scholarships of $1000 each be given to 5 students from a group of 15 applicants