1.
There are 20 people who work in an office together. Four of these people are selected to go to the same conference together. How many such selections are possible?
2.
There are 20 people who work in an office together. Four of these people are selected to attend four different conferences. The first person selected will go to a conference in New York, the second will go to Chicago, the third to San Franciso, and the fourth to Miami. How many such selections are possible?
3.
Serial numbers for a product are to be made using three letters (using any letter of the alphabet) followed by two single-digit numbers. For example, JGR29 is one such serial number. How many such serial numbers are possible if neither letters nor numbers can be repeated?
4.
A 7-card hand is chosen from a standard 52-card deck. How many of these will have four spades and three hearts (remember that there are 13 cards of each suit in a deck)?
5.
In a new group of 15 employees at a restaurant, 10 are to be assigned as servers, 3 are to be assigned as hosts, and 2 are to be assigned as cashiers. In how many ways can the assignment be made?
6.
In how many ways can a first prize, a second prize and four identical third prizes be awarded to a group of 15 people?
7.
There are 30 students in a statistics class. How many ways can the teacher pick out a group of 5 students?
8.
Pizza Hut offers 15 different toppings. Assuming no topping can be repeated on a single pizza, how many different 3 topping pizzas be created?
9.
10 people wait in line for a movie. How many different ways can the line be arranged?
10.
Of the 40 dogs at the animal shelter, 12 are purebred. If 1 of the 40 dogs is selected at random, what is the probability that it is purebred?
11.
How many 4-person committees can be formed from a club of 12 members?
12.
Kareem has 4 sweaters, 6 shirts, and 3 pairs of slacks. How many distinct outfits, each consisting of a sweater, a shirt, and a pair of slacks, can Kareem select?
13.
A={1, 2, 3, 4}B={4, 5, 6, 7}
14.
A={1, 2, 3, 4}B={4, 5, 6, 7}
15.
A={1, 2, 3, 4, 5}B={4, 5, 6, 7}C={5, 6, 7, 8}
16.
A={1, 2, 3, 4, 5}B={4, 5, 6, 7}C={5, 6, 7, 8}
17.
A certain bank issues 3-letter identification codes to its customers. If each letter can be used only once per code, how many different codes are possible?
18.
A restaurantâ€™s fixed-price special dinner consists of an appetizer, an entrĂ©e, and dessert. If the restaurant offers 5 different types of appetizers, 5 different types of entrees, and 4 different types of desserts, how many different ways to order a fixed-price special dinner?
19.
A menu offers 4 choices for the first course, 5 choices for the second course, and 2 courses for dessert. How many different meals, consisting of a first course, a second course, and a dessert, can one choose from this menu?
20.
A={1}B={2, 3, 4}C={10, 12}
A.
B.
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
C.
D.
21.
A certain bank issues 4-digit identification codes to its customers using numbers 0, 1, 2, ..., 9. How many different codes are possible?
22.
John needs to pick up his clothes for the day. He can choose from 6 different shirts, 4 different pairs of pants, and 8 different socks. If an outfit consists of 1 shirt, 1 pair of pants, and 2 socks, how many different outfits could he choose?
23.
At the school cafeteria, 4 boys and 3 girls are forming a lunch line. If the boys must stand in the first two and last two places in line, how many different lines can be formed?
24.
There are 10 different cereals at the grocery store. How many different ways can you choose 3 boxes of cereal (you cannot pick two of the same type)?
25.
There are 10 different cereals at the grocery store. 5 of the 10 cereals are made by General Mills. What is the probability of randomly choosing 3 boxes and having all three be General MIlls brand?