 1. A coin is tossed four times. How many possible sequences of heads or tails are possible?
 2. The members of the Math Club need to elect a president and a vice president. They determine that there are a total of 272 ways that they can fill the positions with two different members. How many people are in the Math Club?
 3. How many different 5digit codes are
possible using the keypad shown at the right if the first digit cannot be 0 and no digit may be used more than once?
 4. Before 1995, area codes had the following format.
(XYZ) X = 2, 3, . . ., or 9 Y = 0 or 1 Z = 0, 1, 2, . . ., or 9
How many area codes were possible before 1995?
 5. Before 1995, area codes had the following format.
(XYZ) X = 2, 3, . . ., or 9 Y = 0 or 1 Z = 0, 1, 2, . . ., or 9
, but in 1995, the restriction on the middle digit was removed, allowing any digit in that position. How many total codes were possible after this change was made?
 6. How many ways can six different books be arranged on a shelf if one of the books is a dictionary and it must be on an end?
 7. Ahmed has homework in, Arabic, math, chemistry, and English. How many ways can he choose the order in which to do his homework?
A) 4 B) (3) X (2) C) (4)x(3) D) (4) x (3) X (2) x (1)
 8. A student is registering at a Web site. He must select a password containing six numerals to be able to use the site. How many passwords are
allowed if no digit may be used more than once?
 9. State whether the events are independent or dependent?
Each of six people guess the total number of points scored in a basketball game. Each person writes down his or her guess without telling what it is.
 10. State whether the events are independent or dependent?
selecting a fiction book and a nonfiction book at the library
 11. State whether the events are independent or dependent? The letters A through Z are written on pieces of paper and placed in a jar.
Four of them are selected one after the other without replacing any of them
 12. Ahmed wants to buy one of three different books he sees in a book store. Each is available in print and on CD. How many book and format choices does he
have?
A) (2) x (2) X (2) B) (2) x (3) C) (3) x (3) D) (3) x (3) X (3)
 13. A video store has 8 new releases this week. Each is available on videotape
and on DVD. How many ways can a customer choose a new release and a format to rent?
 14. Ahmed has homework in math, chemistry, and English. How many ways can he choose the order in which to do his homework?
 15. The menu for a dinner has a choice of 2 types of salad, 5 main courses, and 3 desserts. How many ways can a salad, a main course, and a dessert be selected to form a meal?
 16. A baseball glove manufacturer makes gloves in 4 different sizes, 3 different types by position, 2 different materials, and 2 different levels of quality. How many different gloves are possible?
 17. Each question on a fivequestion multiplechoice quiz has answer choices labeled A, B, C, and D. How many different ways can a student answer the five questions?
A) (5) x (5) x (5) X (5) x (5) B) (4) x (4) x (4) X 4) x (4) C) (5) x (4) D) (5) x (4) x (3) X (2) x (1)
 18. An ice cream shop offers a choice of two types of cones and 15 flavors of ice cream. How many different 1scoop ice cream cones can a customer order?
 19. The ice cream shop offers 4 flavors. You order a doublescoop cone. In how many different ways can the clerk put the ice cream on the cone if you wanted two different flavors?
A) (4) x (3) X (2) x (1) B) (4) x (4) x (4) X (4) x (4) C) 1 D) (4) x (4) E) (4) x (3)
 20. State whether the events are independent or dependent?
The ice cream shop offers 4 flavors. You order a doublescoop cone. In how many different ways can the clerk put the ice cream on the cone if you wanted two different flavors?
A) Dependent B) Independent
 21. State whether the events are independent or dependent?
An ice cream shop offers a choice of two types of cones and 15 flavors of ice cream. How many different 1scoop ice cream cones can a customer order?
A) Independent B) Dependent
 22. If the dice is rolled and then the coin is tossed. How many possible outcomes
A) 8 B) 12
 23. How many ways can the letters of the word MATH be arranged?
A) (4) x (4) X (4) x (4) B) (4) x (3) C) (4) x (3) X (2) x (1) D) 4
 24. In how many ways; leader and vice leader can be chosen for group of 5 students? Assuming that a person can hold only one office
A) 2 B) (5) x (4) C) (5) x (4) x (3) X (2) x (1) D) (5) x (2)
 25. Nine students inter classroom with 15 desks (tables). How many seating arrangements are possible if each student selects a desk?
A) 9 *8 * 7 * 6 * 5 * 4 * 3 *2 *1 B) 15* 9 C) 15 * 14 *14 * 13 * 12 *11 * 10 * 9 * 8 * 7 *6 *5 * 4 * 3 *2 *1 D) 9*9*9*9*9*9*9*9*9*9*9*9*9*9*9 E) 15 * 14 *14 * 13 * 12 *11 * 10 * 9 * 8 * 7
 26. How many 3letter words can be formed from the letters A, B, C and D? if each letter is used only once in each arrangement?
A) 2 *2 *2 *2=16 B) 4 *3=12 C) 4 *4 *4 =64 D) 4 *3*2 = 24
 27. How many ways can you choose 4 different trees out of a group of 7 to plant in a row beside the street?
A) 7 *4 B) 7 *6 *5 * 4 * 3 *2 *1 C) 4 * 4 * 4 * 4 * 4 * 4 * 4 D) 7 *6 *5 * 4 E) 7 *7 *7 *7
 28. In how many ways can four men and 3 women be seated in a raw of seven seats if the women are to be seated together in the first and then the men are to be seated together
 29. In how many ways can five math books be placed on a shelf if 2 of them are algebra books and should be placed next to each other?
