Questions

1) Patrick's Restaurant is selling sundaes in small and large cups. Each size is available with two different flavors of ice cream: vanilla or chocolate. There are also two different toppings for the sundaes: fudge or caramel. Use the tree diagram to answer the following question: How many different ways can a sundae be ordered at Patrick's Restaurant?

250 character(s) left
Your answer is too long.

2) Mrs. Murphy is planning a graduation party for her daughter. She plans to select a meal that includes one main dish, one carbohydrate, and one vegetable from the following list of choices. How many different meals can Mrs. Murphy select?

a.) 12

b.) 24

c.) 36

d.) 48

3) A combination lock has 40 numbers on its dial. To open the lock, turn the dial right to the first number, left to the second number, and then right to the third number. What is the number of different combinations?

a.) 6,400

b.) 64,000

c.) 16,000

d.) 1,600

4) What is the number of possible license plates?

250 character(s) left
Your answer is too long.

5) What is the number of possible license plates that do not contain a “B” or a “D”?

250 character(s) left
Your answer is too long.

6) Jackie is ordering a new computer and must choose an operating system, the amount of memory, and the size of the hard drive. Jackie has narrowed her preferences to the ones listed in the table. How many possible computer systems are available to Jackie?

250 character(s) left
Your answer is too long.

7) Yummy's sells sundaes that can be made with nine different toppings, three flavors of ice cream, and with or without nuts. How many different choices of sundaes are available?

a.) 54

b.) 504

c.) 126

d.) 36

8) Take the letters “A, B, C, D, E, and F” and find all two-letter arrangements. An arrangement like “AB” is a different arrangement than “BA”. Do not use a letter twice in the same arrangement like “AA”. List all the arrangements. There are how many possible two-letter arrangements?

250 character(s) left
Your answer is too long.

9) In the previous problem, order IS important. This is an example of what type of problem?

a.) Permutation

b.) Combination

10) Take the letters “A, B, C, D, E, and F” and find all two-letter arrangements. The order in which the letters occur does not matter so arrangements such as “AB” and “BA” would count as the same arrangement. Do not use a letter twice in the same arrangement like “AA”. List all the arrangements. There are how many possible two-letter arrangements?

250 character(s) left
Your answer is too long.

11) In the previous problem, order IS NOT important. This is an example of what type of problem?

a.) Permutation

b.) Combination

12) Evaluate the factorial.

a.) 5040

b.) 120

c.) 720

d.) 360

13) How many ways can a chairperson and a vice-chairperson be selected from a group of six people? Find the PERMUTATION of six (6) objects taken two (2) at a time.

a.) 15

b.) 30

c.) 60

d.) 120

14) How many two-person committees can be chosen from a group of six people? Find the COMBINATION of six (6) objects taken two (2) at a time.

a.) 15

b.) 30

c.) 60

d.) 120

15) Find the permutation of 8 items taken 4 at a time.

a.) 4

b.) 24

c.) 70

d.) 1680

16) Find the combination of 7 items taken 2 at a time.

a.) 21

b.) 42

c.) 210

d.) 840

17) How many ways can the letters in the word "MATH" be arranged? State the letter of the correct answer.

250 character(s) left
Your answer is too long.

18) Which two cases represent a permutation?

a.) Case 1 and Case 2

b.) Case 2 and Case 3

c.) Case 1 and Case 3

d.) Case 2 and Case 4

19) Which two cases represent a combination?

a.) Case 1 and Case 2

b.) Case 2 and Case 3

c.) Case 1 and Case 3

d.) Case 2 and Case 4

20) Find the number of line segments that can be drawn between the vertices of the octagon. The segments may cross over other segments. Draw and count all of the segments. This problem can also be solved as either a permutation or combination. (a) How many segments can be drawn? (b) Is this a permuation or a combination problem and why?

4000 character(s) left
Your answer is too long.

Attachments

There are no attachments

Attach a File

21) How many ways can a baseball coach arrange the lineup of the first, second, and third batters when randomly choosing from a team of 12 players?

a.) 220

b.) 2,200

c.) 1320

d.) 13,200

22) How many different ways can four (4) people be seated in a row on a bench that seats four (4)?

a.) 6

b.) 24

c.) 12

d.) 36

23) There are twenty dogs in the “Top Dog Show”. Three of the dogs will be chosen as finalists for top honors. There are how many possible ways for a dog to be selected as a finalist?

a.) 380

b.) 1140

c.) 2280

d.) 6840

24) To open your garage door, you must enter a 4-dgit code in the keypad. You remember that the digits are 2, 4, 5, and 7; but, you cannot remember the sequence. How many different ways can the numbers be arranged?

a.) 6

b.) 12

c.) 24

d.) 36

25) The given ratio represents:

a.) Odds in favor

b.) Odds against

26) The given ratio represents:

a.) Odds in favor

b.) Odds against

27) What are the odds IN FAVOR of spinning a multiple of four (4)?

a.) 2 : 8 or 1 : 4

b.) 2 : 10 or 1 : 5

c.) 8 : 2 or 4 : 1

d.) 10 : 2 or 5 : 1

28) What are the odds IN FAVOR of spinning an even number?

a.) 5 : 10 or 1 : 2

b.) 5 : 5 or 1 : 1

c.) 2 : 10 or 1 : 5

d.) 10 : 5 or 2 : 1

29) What are the odds AGAINST spinning a number greater than seven (7)?

a.) 3 : 7

b.) 10 : 3

c.) 7 : 3

d.) 7 : 10

30) What are the odds AGAINST spinning a five (5) or a ten (10)?

a.) 1 : 5

b.) 5 : 1

c.) 1 : 4

d.) 4 : 1

31) What are the odds IN FAVOR of spinning an eleven (11)?

a.) There is no chance.

b.) It is a certainty.

c.) 1 : 10

d.) 10 : 1

32) What are the odds IN FAVOR of choosing an M or a T?

a.) 1 : 2

b.) 2 : 1

c.) 1 : 3

d.) 3 : 1

33) What are the odds AGAINST choosing a C or an L?

a.) 1 : 5

b.) 5 : 1

c.) 1 : 6

d.) 6 : 1

34) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form.

No offline activities found

0 Hour(s) & 0 Minute(s)

If you are NOT required to complete Offline Activities for this course, please check the box below.

I do not have any Offline Activities for this unit.

Attachments

There are no attachments

Attach a File