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9-4 Permutations. Fundamental counting principle Don’t forget it!!!. How many different cell phone can we make? They come in black, silver, and blue. They can be touch screen or not. They can have a full keypad or just a number pad. Permutation.

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Fundamental counting principle don t forget it
Fundamental counting principleDon’t forget it!!!

  • How many different cell phone can we make?

  • They come in black, silver, and blue.

  • They can be touch screen or not.

  • They can have a full keypad or just a number pad.


Permutation
Permutation

  • An arrangement, or listing, of objects in which order is important

  • Permutation… think: Position!

  • Examples?


How many different ways can you arrange 3 classes
How many different ways can you arrange 3 Classes?

  • Math, science, and Language arts.

  • The classes cannot repeat.

  • First: there are 3 possibilities for the first class, There are 2 choices that remain for the second class, and there is only one choice left for the last class, because the classes cannot repeat.

  • So….. 3*2*1= 6 total possibilities for the 3 classes to be arranged.


What about 4 classes add art
What about 4 classes, Add art?


Example
Example

  • How many different class schedules can we make?

  • Math, Science, SS, Language Arts, Reading

  • What is the probability that they will be in the order I typed them?


Example1
example

  • There are 30 people in a race. How many ways can 3 people come in 1st, 2nd, and 3rd?


Example2
Example

  • How may different 3 digit codes can we make if no digits can repeat?

  • What is the probability that the code is to punch in 1, 2, and then 3?


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