1. Zip Codes How many 5-digit zip codes are possible if digits can be repeated? If there cannot be repetitions? 10. Secre be m are p 2. Letter Permutations List all the permutations of the letters in the word MATH 11. Pass 1,2 be r 3. Speaking Order Seven elementary students are se- lected to give a 3-minute presentation on what they did during summer vacation. How many different ways can the speakers be arranged? hav in t 12. Au 4. Visiting Nurses How many different ways can a visit- ing nurse visit 9 patients if she wants to visit them all in one day? H ci 13. E 5. Quinto Lottery A lottery game called Quinto is played by choosing five numbers each, from 0 through 9. How many numbers are possible ? Although repeats are allowed, how many numbers are possible if repeats are not allowed? 6. Show Programs Three bands and two comics are performing for a student talent show. How many different programs (in terms of order) can be arranged? How many if the comics must perform between bands? 14. 7. Rolling Dice If five dice are rolled, how many different 15 outcomes are there? 8. Radio Station Call Letters The call letters of a radio station must have 4 letters. The first letter must be a K or a W. How many different station call letters can be made if repetitions are not allowed? If repetitions are allowed? At the Bogue Film Festival, the