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- 1. Multiple Choice
Harpo, Groucho, Chico, Zeppo, Gummo and Karl are running in a race. How many different orders of finish are possible?
36
64
720
46656
- 2. Multiple ChoiceIf you roll two dice, how many possible outcomes?36013612
- 3. Multiple Choice
Yummy-Yum has prepared cupcakes with five different toppings: sprinkles, coconut, chocolate chip, oreo crumbles, and M&M’s. In how many ways can they arrange three of the cupcakes in a display case?
60
125
15
12
- 4. Multiple ChoiceWhich method of finding the total outcomes of an event allows you to see all possible outcomes?fundamental counting principleexperimental probabilitytheoretical probabilitytree diagram
- 5. Multiple ChoiceFind the total number of outcomes for picking a day of the week and a month of the year.198460210
- 6. Multiple Choice
The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated?
4 x 4 x 4 x 4 = 256
4 x 3 x 2 x 1 = 24
4 + 4 + 4 + 4 = 16
4 + 3 + 2 + 1 = 10
- 7. Multiple Choice
How many license plates consisting of three letters followed by three numbers are possible when no repetition is allowed?
26 x 25 x 24 x 10 x 9 x 8 = 11232000
26 x 26 x 26 x 10 x 10 x 10 = 17576000
26 x 25 x 24 x 9 x 8 x 7 = 7862400
26 x 26 x 26 x 9 x 9 x 9 = 12812904
- 8. Multiple Choice
How many license plate numbers consisting of three letters followed by three numbers are possible when repetition is allowed?
26 x 26 x 26 x 10 x 10 x 10 = 17576000
26 x 25 x 24 x 10 x 9 x 8 = 11232000
26 x 26 x 26 x 9 x 9 x 9 = 12812904
26 x 25 x 24 x 9 x 8 x 7 = 7862400
- 9. Multiple Choice
In Cornville, bicycle license plates have 2 letters followed by a 1-digit number. How many different license plates are possible?
6760
62
2600
6084
- 10. Multiple Choice
Sarah plays softball over the summer. If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?
1
3628800
100
1814400
- 11. Multiple Choice
Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?
720
36
100
500
- 12. Multiple ChoiceYou are about to take 6 question test. Each question has 4 possible answer choices. How many ways can you answer the test if you answer each question?409624129610
- 13. Multiple Choice
In how many different ways can 4 different books be arranged on the shelf?
4 x 3 x 2 x 1 = 24
4 x 4 x 4 x 4 = 256
4 + 3 + 2 + 1 = 10
4 + 4 + 4 + 4 = 16
- 14. Multiple Choice
The top five runners at the cross-country meet will receive trophies. If there are 22 runners in the race, in how many ways can the trophies be awarded?
22 x 21 x 20 x 19 x 18 = 3160080
22 x 22 x 22 x 22 x 22 = 5153632
5 x 4 x 3 x 2 x 1 = 120
- Answer choicesTagsAnswer choicesTags