Find permutations using permutation notation and using technology.

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Presentation transcript:

Find permutations using permutation notation and using technology.

 Determines how many possible orders of objects  An arrangement of objects in a specific order ◦ Order is important!  EX: In how many different orders can you watch 3 movies?

 When one event does NOT affect the outcome of another they are independent.  You can use the Multiplication Counting Principle to find the number of outcomes when events are independent. ◦ If there are m ways to make a first selection and n ways to make a second selection, then there are m ∙ n ways to make both selections.  EX:5 shirts and 8 shorts, how many possible outfits? ◦ Shirts and shorts are independent of each other so there are 5∙ 8 = 40 possible outfits

 When events are dependent and occur without repeating you can use a permutation.  Ex: how many different batting orders can you have with 9 players?  You can have 9 ∙ 8 ∙ 7 ∙ 6 ∙ 5 ∙ 4 ∙ 3 ∙ 2 ∙ 1 = 362,880 possible orders  Or 9! which is read “9 factorial”  n! is used to calculate a permutation. ◦ It is the product of all the integers from n to 1. ◦ Keep in mind that the value of 0! is 1

 P.766 #12-26 All