9 4 permutations
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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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9-4 Permutations

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9-4 Permutations


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

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

  • Permutation… think: Position!

  • Examples?


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?


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?


example

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


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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