1. In how many ways can a teacher divide a class of 21 students into groups of 7 students each?
2. In how many ways can 14 different candies be distributed to 14 scouts?
3. In how many ways can 20 people be divided into groups of 5 each?
4. An Internet company is considering three candidates for CEO, five candidates for CFO, and four candidates for marketing director. In how many different ways can these positions be filled?
5. If every team in a 10-team softball league plays every other team three times, how many games are played?