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- 1. Multiple Choice
The Palace of Pizza offers small, medium, or large pizzas with 14 different toppings available. How many different 1-topping pizzas do they serve?
3 x 14 = 42
3 + 14 = 17
14 x 14 x 14 = 2744
14 x 13 x 12 = 2184
- 2. Multiple Choice
Three students are scheduled to give oral reports on Monday. In how many ways can their presentations be ordered?
3 x 2 x 1 = 6
3 x 3 x 3 = 27
3 + 3 + 3 = 9
3 + 2 + 1 = 6
- 3. Multiple Choice
In how many ways can the first five letters of the alphabet be arranged if each letter is used only once?
5 x 4 x 3 x 2 x 1 = 120
5 x 5 x 5 x 5 x 5 = 3125
26 x 26 x 26 x 26 x 26 = 11881376
5 + 5 + 5 + 5 + 5 = 25
- 4. 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
- 5. Multiple Choice
A restaurant serves 5 main dishes, 3 salads, and 4 desserts. How many different meals could be ordered if each has a main dish, a salad, and a dessert?
5 x 3 x 4 = 60
5 + 3 + 4 = 12
- 6. 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
- 7. Multiple Choice
Marissa brought 8 T-shirts and 6 pairs of shorts to summer camp. How many different outfits consisting of a T-shirt and a pair of shorts does she have?
8 x 6 = 48
8 + 6 = 14
- 8. 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
- 9. Multiple Choice
There are 6 different packages available for school pictures. The studio offers 5 different backgrounds and 2 different finishes. How many different options are available?
6 x 5 x 2 = 60
5 x 2 = 10
6 + 5 + 2 = 13
- 10. Multiple Choice
How many 5-digit even numbers can be formed using the digits 4, 6, 7, 2, 8 if digits can be repeated?
5 x 5 x 5 x 5 x 4 = 2500
5 x 5 x 5 x 5 x 5 = 3125
5 x 4 x 3 x 2 x 1 = 120
- 11. 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
- 12. Multiple Choice
How many 4-digit positive even integers are there?
9 x 10 x 10 x 5 = 4500
10 x 10 x 10 x 10 = 10000
10 x 10 x 10 x 5 = 5000
5 x 5 x 5 x 5 = 625
- 13. Multiple Choice
In a word-building game each player picks 7 letter tiles. If Julio's letters are all different, how many 3-letter combinations can he make out of his 7 letters?
7 x 6 x 5 = 210
7 x 7 x 7 = 343
3 x 3 x 3 = 27
3 x 2 x 1 = 6
- 14. Multiple Choice
The editor has accepted six articles for the newsletter. In how many ways can the six articles be ordered?
6 x 5 x 4 x 3 x 2 x 1 = 720
6 x 6 x 6 x 6 x 6 x 6 = 46656
6 x 6 = 36
- 15. Multiple Choice
There are ten one-hour workshops scheduled for the open house at the greenhouse. There is only one conference room available. In how many ways can the workshops be ordered?
10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800
10 x 1 = 10
1010 = 10000000000
- 16. 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
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