Permutation and combination worksheet
Name____________________
Solve each problem.
1. 4!
2. 8!5!
3.
12C8
How many different ways can the letters of each word be arranged (permutations)?
4. TENNESSEE
5. AMANDA
6. HORRIBLE
7. PURPLES
8. FOOTBALL
Put a ‘p’ by the problem if it is a permutation and a ‘c’ by the problem if it is a combination then solve each
word problem.
9.
In how many ways can 4 charms be placed on a necklace that
does not have a clasp?
10. How many three-scoop sundaes can be formed from 31 flavors?
11. In how many ways can 6 cars be parked in a row?
12. There are 8 boys and 10 girls in gym class. The teacher wants to select a ball
team that consists of 4 boys and 4 girls. What is the total possible
combination?
13. A license plate consists of 4 different letters. How many four-digit license
plates are possible?
14. In how many ways can 5 people sit at a circular table?
15. How many seven-digit phone numbers are available if the first three numbers
must be 793-________ and the remaining four digits can not be repeated.
16. How many 2 topping pizzas be formed from 10 different toppings?
17. How many ways can 10 students be placed in 6 seats?
18. In English you must choose 5 books from a list 20 to read at any time
throughout the semester. What is the possible combination of books?
19. How many three letter initialed napkins can be formed if letters can not be
reused?