Name:______________________
Factorials and Counting Methods:
1. How many ways can 6 elementary kids walk single file?
2. How many ways can you line up a ½ dollar, quarter, dime, nickel, and a penny?
3. How many ways can you arrange 10 flower pots on a window sill?
4. How many ways can 2 people sit in a row of chairs?
5. How many ways can the 6 colors of the rainbow go?
6. How many ways can a person watch 4 movies, eat 3 types of fruit, and wear 5 different color shirts?
7. How many ways can 20 ants march in a line?
8. How many ways can the 12 cans be arranged on the shelf?
9. How many ways can 4 students sit in a row of 4 chairs?
10. How many different cars can be made from 6 color choices, 2 entertainment packages, 2 types of
seating, and 3 engine sizes?
11. How many ways can 15 people wait in line for Harry Potter tickets?
12. How many ways can 7 geese fly in their V?
13. How many different ice cream sundaes can be made from 4 ice cream flavors, 3 size bowls, and 8
toppings?
14. How many ways can I hang the 3 Harrison family stockings on the fireplace?
15. How many different meals can be made from 5 main courses, 4 vegetables, 2 types of rolls, and 4
drinks?
16. How many ways can Carter arrange his 8 favorite Thomas the trains?
17. How many ways can Joe Cool’s 14 girlfriends line up for a chance under the mistletoe?
18. How many different ways can Santa pack Carter’s stocking if he has 4 types of candy, 2 small toys, 3
DVD’s, 3 different bouncy balls, and 5 different colors of toy cars?
19. How many ways can the items in the song “twelve days of Christmas” be arranged?
20. In California, license plates have 6 digits. The first is a letter, but it cannot be O. The next three are
numbers 1 – 9, and the last two are letters A-Z. How many different license plates can be made?
21. You forgot the combination of your locker…again. It’s a three digit code using the numbers 0 - 49.
You can’t find anyone to help you, so you decide to guess the combination. How many possible
combinations are there?