Section 4 - 6: Permutations and Combinations 1. Use a calculator to find the values for the following questions. The 3 functions are found by pushing the PROB button on your clacuator. "! n Factorial 1A. 5! 1B. 6! 10. 4! 1D. 7! C, n different things taken r at at time where order does NOT matter. Lar 2A. SC2 2B. 20. 12 C4 2D. Cs A :evento P, n different things taken r at at time where order does matter. 3A. 5P2 3B. 9P6 3C. 12 P4 3D. 5Ps 4. 15 people volunteered to serve on a three member committee. One will be the President, one the Vice President, and one the Treasurer. No one can serve in more than one position. How may different committees can be formed? 5. 15 students volunteered to work on a 3 member group to develop a project. How may different ways can the group be formed?6. A company will holds a drawing for it's employees. It will award a trip to Hawaii for each of the 6 winners in the drawing. How may ways can the company pick the 6 winners if there are 22 people in the drawing. 7. 12 people are running in the school Christmas Fun Run. The winner will win $ 100, the runner up will win $ 50 and the third place finisher will win $ 25. How may different ways to give out the awards are possible? 8. 18 people bought tickets for a drawing at the school carnival. The first three people who have their tickets drawn will get a tee shirt. How may different ways to give out the awards are possible? 9. How many different ways can all the letters in MONKEY be arranged to form a 6 letter word (real or imaginary)? 10. How many different ways can any 3 of the the letters in HOUSE be arranged to form a 3 letter word (real or imaginary)? 11. How many different four member golf teams can be formed in there are 16 golfers who want to play onto team? 12. How many different 6 member teams can be created from 12 possible players?13. How many different 4 number passwords are possible if the digits 1 to 9 can be used and no number can be reused? 14. A doctor wants to test a new drug on 8 patients. 10 patients volunteered for test. How many different treatment groups are possible? 15. Researchers plan to test a random sample of 12 test subjects taken from a pool of 20 possible subjects. How many different treatment groups are possible? 16. How many ways can 10 runners earn an award in a race where a first place price of $ 50, a second place prize of $ 20 and third place prize of $ 10 are awarded? 17. How many different ways can all 9 letters in the word REARRANGE be arranged to form a 9 letter word (real or imaginary)? 18. How may different lighting arrangements of a string of 10 lights are possible if you have 3 white lights, 2 red lights and 5 blue lights? 19. How many different ways can all the letters in CALCULUS be arranged to form an 8 letter word (real or imaginary)