Chapter 9 Sequences, Series, And Probability Full Test Bank

College Algebra, 5e (Young)

Chapter 9 Sequences, Series, and Probability

9.6 Counting, Permutations, and Combinations

1) Use the formula for to evaluate .

A) 30,240

B) 252

C) 50

D) 90

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply permutations to solve counting problems.

2) Use the formula for to evaluate .

A) 108,900

B) 77

C) 330

D) 1,663,200

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply permutations to solve counting problems.

3) Use the formula for to evaluate .

A) 0

B) 1

C) 10

D) 3,628,800

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply permutations to solve counting problems.

4) Use the formula for to evaluate .

A) 0

B) 1

C) 4

D) 24

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply permutations to solve counting problems.

5) Use the formula for to evaluate .

A) 165

B) 88

C) 6,652,800

D) 990

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply permutations to solve counting problems.

6) Use the formula for to evaluate .

A) 220

B) 79,833,600

C) 108

D) 23,760

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply combinations to solve counting problems.

7) Use the formula for to evaluate .

A) 0

B) 1

C) 17

D) 33

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply combinations to solve counting problems.

8) Use the formula for to evaluate .

A) 0

B) 1

C) 10

D) 9

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply combinations to solve counting problems.

9) Use the formula for to evaluate .

A) 4536

B) 3024

C) 36

D) 126

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply combinations to solve counting problems.

10) At Marcello's Pizza restaurant, there are 5 types of crust, 2 types of cheese, and 10 types of toppings to choose from. How many different pizzas can be made from one type of crust, one type of cheese, and one topping?

A) 17

B) 100

C) 252

D) 45

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply the fundamental counting principle to solve counting problems.

11) At Point Loma Soup and Salad restaurant, there are 4 types of lettuce, 8 types of salad ingredients, and 5 different dressings to choose from. How many different salads can be made from one type of lettuce, one salad ingredient, and one dressing?

A) 6720

B) 17

C) 160

D) 70

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply the fundamental counting principle to solve counting problems.

12) Use the formula for to evaluate .

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply permutations to solve counting problems.

13) Use the formula for to evaluate .

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply combinations to solve counting problems.

14) In a deck of 52 cards, how many different 3-card hands can be dealt?

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply combinations to solve counting problems.

15) If a state lottery picks from 59 numbers and 4 numbers are selected, how many possible 4-number combinations are there?

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply combinations to solve counting problems.

16) A safe will open when the correct choice of three numbers (1 to 51) is selected and entered in the correct order. How many possible permutations are there, assuming no numbers can be repeated?

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply permutations to solve counting problems.

17) In a particular state there are seven characters in a license plate: three letter(s) followed by four numbers. If 0s and 1s are eliminated from possible numbers and Os and Is are eliminated from possible letters, how many different license plates can be made?

A) 78,624,000

B) 20,401,920

C) 141,680

D) 546,000

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply permutations to solve counting problems.

18) Use the formula for to evaluate .

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply permutations to solve counting problems.

19) Use the formula for to evaluate .

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply permutations to solve counting problems.

20) Use the formula for to evaluate .

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply permutations to solve counting problems.

21) Use the formula for to evaluate .

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply permutations to solve counting problems.

22) Use the formula for to evaluate .

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply permutations to solve counting problems.

23) Use the formula for to evaluate .

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply combinations to solve counting problems.

24) Use the formula for to evaluate .

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply combinations to solve counting problems.

25) Use the formula for to evaluate .

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply combinations to solve counting problems.

26) Use the formula for to evaluate .

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 06

Learning Objective: Apply combinations to solve counting problems.

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