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12.1 The Fundamental Counting Principal & Permutations
The Fundamental Counting Principal ,[object Object],[object Object],[object Object],[object Object],[object Object]
3 or more events: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
Fund. Counting Principal with repetition ,[object Object],[object Object],[object Object],[object Object],[object Object]
How many plates are possible if digits and numbers cannot be repeated? ,[object Object],[object Object],[object Object],[object Object]
Phone numbers ,[object Object],[object Object],[object Object]
Testing ,[object Object],[object Object],[object Object]
Using Permutations ,[object Object]
There are 6 permutations of the letters A, B, &C  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],You can use the  Fund. Counting Principal to determine the number of permutations of n objects. Like this ABC. There are 3 choices for 1 st  # 2 choices for 2 nd  # 1 choice for 3 rd . 3*2*1 = 6 ways to arrange the letters
In general, the # of permutations of n objects is: ,[object Object]
12 skiers
 ,[object Object],[object Object],[object Object]
Factorial with a calculator: ,[object Object],[object Object]
Back to the finals in the Olympic skiing competition. ,[object Object],[object Object],[object Object],[object Object]
Permutation of  n  objects taken  r  at a time ,[object Object]
Back to the last problem with the skiers ,[object Object],[object Object],[object Object],[object Object]
10 colleges, you want to visit all or some. ,[object Object],[object Object],[object Object],[object Object],[object Object]
How many ways can you visit all 10 of them: ,[object Object],[object Object],[object Object],[object Object],[object Object]

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12 1 The Fundamental Counting Principal & Permutations Revised

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