Lesson 2.9 Objective: Probability permutations and combinations

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Presentation transcript:

Lesson 2.9 Objective: Probability permutations and combinations Counting principal Example: Suppose you are picking out an outfit for a job interview. You have three pairs of shoes to choose from, four pairs of pants, and 2 shirts. How many different outfits can you put together using an item from each category? 3 shoes • 4 pants • 2 Shirts # of Outfits = 3 • 4 • 2= 24 different outfits

Permutations (when the order matters) Example: Six people are running in a race. The top three places get 1st, 2nd, and 3rd prize. How many arrangements are there? How many people have a shot at…. 1st 2nd 3rd 4 = 6 • 5 • 120 arrangements

Combinations: When the order does not matter Six People are running for city council. There are three positions available. How many combinations are there? Hint Use A,B,C,D,E,F for the six candidates Mathematically ABC ACF BDE BDF ABD ADE 120 = 20 BEF 6 ABE ADF CDE ABF AEF CDF ACD BCD When the order does not matters, you must divide! CEF BCE ACE BCF DEF 20 DIFFERENT COMBINATIONS On test!!!!!

Example: You just bought 5 books and want to take two of them with you on vacation. How many different combinations of two books can you take? Hint: Use A,B,C,D,E for each book AB BC CE MATHEMATICALLY AC BD DE AD BE 20 = 10 2 AE CD 10 COMBINATIONS