

1. 
From a group of six students, four are to be chosen to form a committee. In how many ways can the committee be chosen? 


A. 
30 
B. 
360 


C. 
720 
D. 
15 


Hint 


2. 
You have an assignment for an art class to paint a painting using only four colors. Visiting an art store, you find 20 colors from which to choose. How many different combinations of colors are there? 


A. 
4,845 
B. 
24 


C. 
74 
D. 
116,280 


Hint 


3. 
You have tests coming up soon in all your classes. You have six schoolbooks that you could take home, but only room for four in your backpack. How many different combinations of schoolbooks can you take home in your backpack? 


A. 
24 
B. 
4 


C. 
15 
D. 
30 


Hint 


4. 
Which situation is a combination? 


A. 
The number of ways a committee can choose a president, vicepresident, and treasurer. 


B. 
The number of ways 50 people can line up to enter a concert hall. 


C. 
The number of ways 3 books can be displayed in a store window. 


D. 
The number of ways a coach can choose 3 cocaptains for a soccer team. 


Hint 


5. 
Ten students are playing in a chess tournament. If each student plays every other student once, how many total games are played? 


A. 
45 
B. 
90 


C. 
30 
D. 
120 


Hint 


