1. Holt Geometry 3-1 Lines and Angles S-CP.B.9Use permutations and combinations to compute probabilities of compound events and solve problems.

2. Holt Geometry 3-1 Lines and Angles  Fundamental Counting Principle  Permutation  N factorial (n!)  Combination

3. Holt Geometry 3-1 Lines and Angles  Paper for notes  Pearson 11.1  Graphing Calc.

4. Holt Geometry 3-1 Lines and Angles  Notes 11.1  Calculator

5. Holt Geometry 3-1 Lines and Angles TOPIC: 11.1 Permutations and Combinations Name: Daisy Basset Date : Period: Subject: Notes Objective: Use permutations and combinations to compute probabilities of compound events and solve problems.

6. Holt Geometry 3-1 Lines and Angles Vocabulary  n Factorial (n!)

7. Holt Geometry 3-1 Lines and Angles Key Concepts  Fundamental Counting Principle  Number of Permutations  Number of Combinations

8. Holt Geometry 3-1 Lines and Angles 1. The photos show Maryland license plates in 2004 and 1912. How many more 2004-style license plates were possible than 1912- style plates?

9. Holt Geometry 3-1 Lines and Angles The 2004 plates, have places for 3 letters and 3 digits. # of possible 2004 plates ___ ___ ___ 26 10 = 17,576,000

10. Holt Geometry 3-1 Lines and Angles The 1912 plates, have places for 4 digits. # of possible 1912 plates ___ ___ ___ ___ 10 = 10,000 10

11. Holt Geometry 3-1 Lines and Angles There were __________ more 2004-style license plates possible than 1912-style plates. 17,566,000

12. Holt Geometry 3-1 Lines and Angles 2. In how many ways can you file 12 folders, one after another, in a drawer? There are __ ways to select the first folder, __ ways to select the next folder, and so on. 12 11 Order matters, so this is a permutation.

13. Holt Geometry 3-1 Lines and Angles The total # of permutations is 12 11... 2 1 = 12! = 479,001,600 Type 12. Press MATH. Arrow over to PRB. Press 4.

14. Holt Geometry 3-1 Lines and Angles 3. Ten students are in a race. First, second, and third places will win medals. In how many ways can 10 runners finish first, second, and third (no ties allowed)?

15. Holt Geometry 3-1 Lines and Angles Method 1 Use the Fundamental Counting Principle ___ __ __ 1 st 2 nd 3 rd 1098 = 720

16. Holt Geometry 3-1 Lines and Angles Method 2 Use the Permutation Formula There are _____ runners to arrange, taking _____ at a time. n= 10 r = 3 (Order matters)

17. Holt Geometry 3-1 Lines and Angles

18. Holt Geometry 3-1 Lines and Angles = 720

19. Holt Geometry 3-1 Lines and Angles 4. What is 13 C 4, the number of combinations of 13 items taken 4 at a time?

20. Holt Geometry 3-1 Lines and Angles

21. Holt Geometry 3-1 Lines and Angles = 715 5

22. Holt Geometry 3-1 Lines and Angles SummarySummarize/reflect D What did I do? L What did I learn? I What did I find most interesting? Q What questions do I still have? What do I need clarified?

23. Holt Geometry 3-1 Lines and Angles Hmwk 11.1 A: Practice: 24 – 28, 30 - 34 Work on the Study Plan

24. Holt Geometry 3-1 Lines and Angles

25. Holt Geometry 3-1 Lines and Angles

26. Holt Geometry 3-1 Lines and Angles  Notes 11.1  Calculator

27. Holt Geometry 3-1 Lines and Angles 5. Determine whether you should use a permutation or combination?

28. Holt Geometry 3-1 Lines and Angles A. A chemistry teacher divides his class into 8 groups. Each group submits one drawing of the molecular structure of water.

29. Holt Geometry 3-1 Lines and Angles He will select four of the drawings to display. In how many different ways can he select the drawings?

30. Holt Geometry 3-1 Lines and Angles If order is important, use If order is not important, use

31. Holt Geometry 3-1 Lines and Angles 2

32. Holt Geometry 3-1 Lines and Angles There are 70 ways to select the drawings.

33. Holt Geometry 3-1 Lines and Angles B. You will draw winners from a total of 25 tickets in a raffle. The first ticket wins $100. The second ticket wins $50. The third ticket wins $10.

34. Holt Geometry 3-1 Lines and Angles In how many different ways can you draw the three winning tickets?

35. Holt Geometry 3-1 Lines and Angles If order is important, use If order is not important, use

36. Holt Geometry 3-1 Lines and Angles

37. Holt Geometry 3-1 Lines and Angles There are 13,800 ways you can draw the winning tickets.

38. Holt Geometry 3-1 Lines and Angles SummaryIn your own words: 1. What does n! mean? Give an example. 2. How do you know which formula to use?

39. Holt Geometry 3-1 Lines and Angles Hmwk 11.1 B: Math XL Start Notes 11.2 Work on the Study Plan

40. Holt Geometry 3-1 Lines and Angles TOPIC: 11.2 Probability Name: Daisy Basset Date : Period: Subject: Notes Objective: Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or”, “and”, “not”).

41. Holt Geometry 3-1 Lines and Angles Vocabulary  Experimental probability  Equally likely outcomes  Theoretical probability Key Concept  Experimental probability  Theoretical probability

42. Holt Geometry 3-1 Lines and Angles