H Adv Algebra w Trigonometry
Name: ___________________________
Worksheet # 6 Permutations
Period: _________
Determine whether each situation involves a permutation or combination.
Date: __________
Circle the correct answer.
1. choosing a 4-digit password for an Internet account
permutation
combination
2. selecting 3 movies out of 20 possibilities to rent for the weekend
permutation
combination
3. choosing 5 students out of a class of 28 to plan a class party
permutation
combination
4. scheduling 6 students to each work an hour long shift selling raffle tickets
permutation
combination
Show how the following problems can be completed using:
(a) the basic counting principle
(b) permutations
5.
How many different four-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6, 7, and 8 if no
digit is used twice?
a.
6.
In how many orders can the numbers 11, 22, 33, 55, 88, 99, and 101 be listed?
a.
7.
b.
How many batting orders can a coach make of 9 players from a roster of 12 players?
a.
8.
b.
b.
Radio station WOLD plays ten requests between 10:00 and 11:00. In how many different orders can each
group of ten songs be played?
a.
b.
How many different ways can the letters of each word be arranged?
9. SEE
10. LEVEL
11. ALASKA
12. PERPENDICULAR
Solve each problem.
13. Don has 5 pennies, 3 nickels, and 4 dimes. The coins of each denomination are indistinguishable.
How many ways can he arrange the coins in a row?
14. How many two-letter codes can be formed using the letters A,B, C, D, and E? Repeated letters are allowed.
15. How many 3-digit numbers can be formed using the digits 0 and 1? Repeated digits are allowed.
16. In how many ways can 4 people be lined up?
17. How many ways can 4 algebra books, 3 chemistry books, and 5 history books be arranged on a shelf if the books
are ordered according to subject?
18. How many different 4-letter codes are there if only the letters A, B, C, D, E, and F can be used and no letter can
be used more than once?
19. A band has 7 new songs and wants to put 5 of them on a demo CD. How many arrangements of 5 songs are
possible?
20. How many different batting orders are possible with nine players?