

1. 
An art gallery has 10 paintings to display. Six of the paintings are to be used for a new exhibit. Is this situation a permutation or combination? How many choices of paintings are possible? 


A. 
combination; 210 
B. 
permutation; 210 


C. 
combination; 151,200 
D. 
permutation; 151,200 


Hint 


2. 
A group of 10 students is to be divided into 2 groups of 5. How many ways is this possible? 


A. 
30,240 
B. 
252 


C. 
120 
D. 
10 


Hint 


3. 
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. 
116,280 
D. 
74 


Hint 


4. 
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. 
15 
B. 
30 


C. 
4 
D. 
24 


Hint 


5. 
Which situation is a permutation? 


A. 
The number of ways each person can shake hands with the other 11 people in the room. 


B. 
The number of ways you can choose 3 hot dog toppings from a total of 5. 


C. 
The number of ways 8 students can finish first, second, or third place at the Math Olympiad. 


D. 
The number of games it would take to start 5 different basketball players from a team of 10. 


Hint 


