https://open\\ x elext 193/pages/604?locale=&platformld=1030&Ims=Y Chapter 10: Counting Methods Scheduling Assignments Eileen has seven homework Choosing Subsets of assignmen o complete. She wants to do two of them on chosen from the set Thursday did the other five on Saturday. 15. In how many ways can she order Thursday's work? Determine the num 16. Assuming she finishes Thursday's work successfully, includes each of the in how many ways can she order Saturday's work? the letter B 17. Arranging Letters Find the number of distinguishable arrangements of the letters of the word PIPPIN. 30. both A and E Selecting Groups of Basketball Players If there are ten play- 31. either A o E, but ers on a basketball team, find the number of choices the 32. letters to spell the coach has in selecting each of the following. 18. four players to carry the team equipment 33. more consonants t 19. two players for guard positions and two for forward 34. Assigning Student G positions of 60 students and percent of the stud 20. five starters and five subs grade of A. How ma be distributed? 21. two groups of four 35. Number of Paths from 22. a group of three or more of the players travel in only two di starting point on the Choosing Switch Settings Determine the number of pos- paths exist to reach t sible settings for a row of five on-off switches under each calendar problem) condition. 1-5 582 O APR MacBook Air7193/pages/603?locale=&platformld=1030&Ims=Y R Update Other Bookmarks Chapter 10: Counting Methods RH Counting Three-digit Numbers If only the digits 0, 1, 2, 3, 7. Sums of Digits How many nonrepeating four-digit 4, 5, and 6 may be used, find the number of possibilities in numbers have the sum of their digits equal to 30? each category. 8. Arranging Children Yeo has invited her sister Hae 1. three-digit numbers and her four best friends to her birthday party. In how 2. odd three-digit numbers many ways can the six children be arranged around a rectangular table with one child at each end and two on each side if Yeo must sit at an end seat a lae 3. three-digit numbers witho f repeated digits must not sit next to Yeo? 4. three-digit multiples of five without repeated digits Evaluate each expression. 5. Counting Triangles in a Figure Determine the number 9. 6! 10. of triangles (of any size) in the figure shown here. 11. 12 P3 12. SCs 13. Building Words from Sets of Letters How many five- letter "words" without repeated letters are possible using the English alphabet? (Assume that any five let- ters make a "word.") 6. Tossing Coins Construct a tree diagram showing all 14. Building Words from Sets of Letters Using the Russian possible results when a fair coin is tossed four times, if alphabet (which has 32 letters), and allowing repeated no two consecutive tosses can both be heads. letters, how many five-letter "words" are possible? 581