Introduction to Permutations

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Class:

Date:

Show your work for each problem.

1.
What is (3 factorial)?
1. a)27
2. b)3
3. c)6
4. d)9
2.
Calculate
3.
What is ?
1. a)Undefined
2. b)1
3. c)0
4. d)Infinity
4.
In how many ways can 3 people (A, B, C) line up?
5.
Calculate
6.
Which formula correctly calculates ?
1. a)
2. b)
3. c)
4. d)
7.
Calculate
8.
A club with 7 members needs to elect a President and a Vice President. How many ways can this be done?
9.
Which situation requires a permutation (not a combination)?
1. a)Ranking the top 3 finishers in a race
2. b)Choosing 3 pizza toppings
3. c)Selecting 4 students for a committee
4. d)Picking 2 books to read
10.
How many 3-letter arrangements can be made from the letters A, B, C, D if no letter repeats?
11.
Calculate
12.
In a race with 12 runners, how many different ways can 1st, 2nd, and 3rd place be awarded?
13.
Calculate
14.
A 4-digit PIN code uses digits 0-9 with no digit repeated. How many such PINs are possible?
1. a)5040
2. b)720
3. c)10000
4. d)3024
15.
A class of 20 students needs to select a President, Vice President, Secretary, and Treasurer. How many ways can this be done?
16.
Simplify:
17.
What is equal to for any positive integer ?
1. a)
2. b)
3. c)
4. d)
18.
How many 5-letter arrangements can be made from the word STUDY if no letter repeats?