Name: 
 

Permutations


 1 
The bowling team at Lincoln High School must choose a president, vice president, and secretary.  If the team has 10 members, which expression could be used to determine the number of ways the officers could be chosen?
a)
mc001-1.jpg
c)
mc001-3.jpg
b)
mc001-2.jpg
d)
mc001-4.jpg
 

 2 
How many different ways can five books be arranged on a shelf?
a)
5
c)
25
b)
15
d)
120
 

 3 
John is going to line up his four golf trophies on a shelf in his bedroom.  How many different possible arrangements can he make?
a)
24
c)
10
b)
16
d)
4
 

 4 
There are 18 students in a class.  Each day, the teacher randomly selects three students to assist in a game: a leader, a recorder, and a timekeeper.  In how many possible ways can the jobs be assigned?
a)
306
c)
4896
b)
816
d)
5832
 

 5 
How many different seven-letter arrangements of the letters in the word HEXAGON can be made if each letter is used only once?
a)
28
c)
720
b)
49
d)
5040
 

 6 
How many different three-letter arrangements can be formed using the letters in the word ABSOLUTE if each letter is used only once?
a)
56
c)
168
b)
112
d)
336
 

 7 
How many different four-letter arrangements are possible with the letters mc007-1.jpg if each letter may be used only once?
a)
15
c)
360
b)
24
d)
720
 



 
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