Name:    AII.12 - Permutations and Combinations

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1

Which of the following scenarios represents a combination?
 a. The arrangement of 8 books on a shelf. b. The number of ways 6 people can be seated at a round table if 2 people must be seated next to each other. c. The letters r,s,t,v,w are used to form 5-letter passwords for a security system. d. A seven person committee selected from the junior class.

2

Twelve runners are in a cross country race.  How many different ways can they finish first, second, and third?
 a. 2200 b. 1320 c. 220 d. 132

3

Select all of the following that represent a permutation.

 I.    There are 10 dogs racing for first and second prize.   How many possible outcomes are there? II.   Six speakers are scheduled to address a group of College students.   In how many different orders can the speakers appear? III.  How many 6 letter words can we make using the letters in the word LIBERTY? IV.   How many different committees of 5 people may be formed from 10 people? V.    A password consists of 4 different letters of the alphabet.  How many possible passwords are there? VI.   How many triangles can you make using 6 non collinear points on a plane?
 a. I, II, III, V b. I, V, VI c. II, IV, VI d. I, II, V, VI

4

A store owner employs a total of 3 cashiers and 7 clerks.  The owner plans to select a committee of 1 cashier and 2 clerks.  What is the number of different committees the owner could choose?

5