<p>Section 3.4 Worksheet C (DO NOT WRITE ON WORKSHEET)</p><p>1. A landscaper wants to plant 5 oak trees, 4 pine trees and 10 orange trees in a residential neighborhood. If they are spaced evenly, in how many distinguishable ways can they be planted?</p><p>2. In how many distinguishable ways can the letters in the word statistics be written?</p><p>3. In how many distinguishable ways can the letters in the word abracadabra be written?</p><p>4. A landscaper wants to plant 3 orange trees, 4 apple trees, and 3 apricot trees in a neighborhood park. If they are spaced evenly, in how many distinguishable ways can they be planted?</p><p>5. Assuming that each character can be either a letter (26 options) or a digit, how many four character license plates are possible?</p><p>6. A license plate consists of 1 number, followed by 3 letters, followed by 2 numbers. How many different license plates can be created. </p><p>7. A license plate consists of 1 number, followed by 3 letters, followed by 2 numbers. The first digit cannot be smaller than 6 and the last number must be greater than 3. How many different ways can you create a license can be created. </p><p>8. Until recently with the advent of cellular phones, modems and pagers the area codes in the United States and Canada followed a certain system. The first number could not be 0 or 1 and the second could only be 0 or 1. Under this system, how many 3 digit area codes are possible?</p><p>9. Fifteen cyclists enter a race. In how many ways can they finish in first, second and third place?</p><p>10. Five players on a basketball team must choose a player on the opposing team to defend. In how many ways can they choose their defensive assignments?</p><p>11. A baseball card collector has six identical Albert Pujols cards and three identical Josh Hamilton cards. The collector s album has nine slots per page in how many distinguishable ways can the collector arrange the nine cards in one page?</p><p>12. There are 14 employees at an advertising firm, four will be chosen to present at a New York business conference. How many different ways can the four employees be chosen?</p><p>13. In how many distinguishable ways can the letters in the word Massachusetts be written?</p><p>14. From a group of 20 people, a jury of 12 people is selected. In how many different ways can a jury of 12 people be selected? </p><p>15. In order to conduct an experiment, 5 subjects are randomly selected from a group of 20 subjects. How many different groups of 5 subjects are possible?</p><p>16. A pizza shop offers eight toppings. If no topping is used more than once, in how many different ways can a 5 topping pizza be formed?</p><p>17. A lottery has 50 numbers. In how many different ways can six of the numbers be selected? (Assume that order of selection is not important.)</p><p>18. Four sales representatives for a company are to chosen to participate in a training program. The company has nine sales representatives to choose from. How many different combinations are formed?</p><p>19. A UPS driver must deliver in 6 different cities, how many different routes are possible.</p><p>20. A UPS driver must deliver in 6 different cities; find the probability that he goes to the six different cities in alphabetical order. </p><p>21. The access code to a houses security system consists of four digits. How many different codes are available if the first digit cannot be zero and the arrangement of 3333 is excluded?</p><p>22. How many different surveys are required to cover all possible question arrangements if there are 8 questions in a survey?3</p><p>23. There are 7 hamsters in a race. How many different ways can they finish in 1st, 2nd, 3rd and 4th place?</p>