

1. 
Determine the number of ways awards can be given for first, second, and third places in a race if there are 7 runners participating. 


A. 
210 
B. 
2520 


C. 
5040 
D. 
840 


Hint 


2. 
Compute 5! 


A. 
120 
B. 
720 


C. 
15 
D. 
60 


Hint 


3. 
Meghan owns 5 pairs of basketball shorts. If she wears a different pair every day for five days, how many different orders are there in which she could wear the shorts? 


A. 
60 
B. 
24 


C. 
120 
D. 
15 


Hint 


4. 
A baseball team has 15 players, but there are only 9 positions. How many different choices are there for how to put 9 players on the field? 


A. 
1,307,674,368,000 


B. 
120 


C. 
1,816,214,400 


D. 
99 


Hint 


5. 
Evaluate 6! · 6!. 


A. 
518,400 
B. 
25,920 


C. 
1,440 
D. 
479,001,600 


Hint 


