30 Questions

LHS 4. 2 Statistics - Permutations and Combinations

Questions and Answers

- 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?
- A.
116280

- B.
4845

- C.
80

- D.
Not enough information

- 2.
- A.
116280

- B.
4845

- C.
80

- D.
Not enough information

- 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?
- A.
117,000

- B.
15,690

- C.
2,000,000,000

- D.
1,404,000

- 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)?
- A.
29,446,560

- B.
1001

- C.
204,490

- D.
Not enough information

- 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?
- A.
60

- B.
30,030

- C.
3014

- D.
50,000

- 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?
- A.
5005

- B.
3,603,600

- C.
150,150

- D.
None of the answers

- 7.There are 30 students in a statistics class. How many ways can the teacher pick out a group of 5 students?
- A.
150

- B.
17,100,720

- C.
142,506

- D.
None of the answers

- 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?
- A.
455

- B.
2730

- C.
45

- D.
None of the answers

- 9.10 people wait in line for a movie. How many different ways can the line be arranged?
- A.
3,628,800

- B.
1

- C.
100

- D.
1,000

- 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?
- A.
.12

- B.
.30

- C.
.40

- D.
.70

- 11.How many 4-person committees can be formed from a club of 12 members?
- A.
11,880

- B.
495

- C.
48

- D.
3

- 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?
- A.
13

- B.
36

- C.
72

- D.
216

- 13.A={1, 2, 3, 4}B={4, 5, 6, 7}
- A.
{4}

- B.
{1, 2, 3, 4, 5, 6, 7}

- C.
{5, 6, 7}

- D.
{1, 2, 3, 4, 5, 6, 7, 8}

- 14.A={1, 2, 3, 4}B={4, 5, 6, 7}
- A.
{4}

- B.
{1, 2, 3, 4, 5, 6, 7}

- C.
{5, 6, 7}

- D.
{1, 2, 3, 4, 5, 6, 7, 8}

- 15.A={1, 2, 3, 4, 5}B={4, 5, 6, 7}C={5, 6, 7, 8}
- A.
{1, 2, 3, 4, 5, 6, 7, 8}

- B.
{4, 5}

- C.
{5}

- D.
Empty set

- 16.A={1, 2, 3, 4, 5}B={4, 5, 6, 7}C={5, 6, 7, 8}
- A.
{1, 2, 3, 4, 5}

- B.
{4, 5, 6, 7, 8}

- C.
{5}

- D.
{1, 2, 3, 4, 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?
- A.
26

- B.
78

- C.
15,600

- D.
326

- 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?
- A.
60

- B.
100

- C.
200

- D.
3000

- 19.
- A.
60

- B.
40

- C.
20

- D.
10

- 20.A={1}B={2, 3, 4}C={10, 12}
- A.
{1, 2, 3, 4, 10, 12}

- B.
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

- C.
Empty set

- D.
{10, 12}

- 21.A certain bank issues 4-digit identification codes to its customers using numbers 0, 1, 2, ..., 9. How many different codes are possible?
- A.
40

- B.
100

- C.
1000

- D.
10,000

- 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?
- A.
192

- B.
672

- C.
6,720

- D.
10,000

- 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?
- A.
24

- B.
6

- C.
144

- D.
12

- 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)?
- A.
30

- B.
120

- C.
720

- D.
100

- 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?
- A.
1/10

- B.
1/120

- C.
1/12

- D.
1500

- 26.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 none of the three boxes be General Mills?
- A.
1/10

- B.
1/120

- C.
1/12

- D.
1500

- 27.A phone number has 10 digits (0, 1, 2, ..., 9). How many phone numbers consist of 10 digits where none of the digits repeat?
- A.
1,000,000,000

- B.
3,628,800

- C.
5,000,000

- D.
1,000

- 28.A phone number has 10 digits (0, 1, 2, ..., 9). How different phone numbers are there?
- A.
1x10^10

- B.
1,000

- C.
1x10^100

- D.
3,628,800

- 29.A jar contains 4 green marbles, 5 red marbles, and 11 white marbles. If one marble is chosen at random, what is the probability that it will be green?
- A.
1/5

- B.
1/4

- C.
20

- D.
1

- 30.A jar contains 4 green marbles, 5 red marbles, and 11 white marbles. If one marble is chosen at random, what is the probability that it will NOT be green?
- A.
4/5

- B.
1/5

- C.
20

- D.
3/4