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. permutation; 210 B. combination; 210 C. combination; 151,200 D. permutation; 151,200 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. 116,280 B. 74 C. 4,845 D. 24 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. 30 C. 4 D. 15 Hint 4. Which situation is a permutation? A. The number of ways you can choose 3 hot dog toppings from a total of 5. B. The number of ways 8 students can finish first, second, or third place at the Math Olympiad. C. The number of games it would take to start 5 different basketball players from a team of 10. D. The number of ways each person can shake hands with the other 11 people in the room. 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. 120 B. 30 C. 45 D. 90 Hint