Combination Problems( Week 39 Evaluation) 1. Helen want to make a ring for graduation. She can choose from 4 types of stones and 3 types of metals. How many combinations of a stone and a metal are there? 2. Using digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 (Each digit can be used as many times as you want), how many 2-digit numbers can you make? 3. There are 14 people in a team. If they will shake hands with each other only once during a meeting, how many handshakes will be made in total? 4. 14 people form a chess club and arrange for each person to play each other exactly a match. How many matches in total will be played? 5. Ed stopped at a restaurant for dinner. There are 13 kinds of main dishes and 8 kinds of soup. How many possible combinations can be made from the menu (Each with one main dish and one soup)? 6. 10 players participated in a 3-round chess tournament where each player played exactly 3 games with other participants. How many games were played in all? 7. I have 2 three-cent stamps and 3 five-cent stamps. Using at least one stamp from each type, how many different amounts of postage can I make? 8. Using digits 1, 2, 3, 4, and 5 (Each digit can be used as many times as you want in a number), how many 3-digit odd numbers can you make? 9. Helen has 4 dresses with one for each color in red, blue, black, and white. She also has 4 purses with one for each color in red, blue, black, and white. She also has 4 pair of shoes with one for each color in red, blue, black, and white. If Helen wants to wear same color for dress and purse, different color for shoes, how many different possibilities does she have? 10. A baseball league has 11 teams. During the season, each team is planning to play exactly 2 games with each of the other teams. What is the total number of games that will be played in the league? |