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 5letter 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?


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 

Short Answer


4

Directions: Type in your answer. Enter your answer as a whole number.
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

Directions: Type in your answer. Your answer must be an integer.
A family reunion planning committee with 8 members plans to elect 3 officers  a present,
treasurer, and historian. If each office is to be held by one person and no person can hold
more than one office, in how many ways can those offices be filled?


6

Twenty horses compete in a race. In how many ways could the horses have
finished in first place through third place?


7

A 10 person student council will be selected from 18 students at a school.
How many possibilities are there for this student council?
