1 / 5

Notes: 13-2 Repetitions and Circular Permutations

How many different arrangements can you make using th e letters WOW?. Notes: 13-2 Repetitions and Circular Permutations. three?? OWW WOW WWO. This is correct!!. linear arrangement with repetitions :.

deborah-deleon
Download Presentation

Notes: 13-2 Repetitions and Circular Permutations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. How many different arrangements can you make using the letters WOW? Notes: 13-2 Repetitions and Circular Permutations three?? OWW WOW WWO This is correct!!

  2. linear arrangement with repetitions: The number of permutations of n objects of which p are alike and q are alike:_n!_p!q! divide by the repetitions) Example#1: Waikiki has _7! arrangements, 2!3! which is a total of 840 different permutations.

  3. From yesterday: linear arrangement = n! (permutation) Now consider a circular permutation: If n objects are arranged in a circle without a reference point, then there are (n-1)! permutations.

  4. Example#2: If 4 people sit at a square table, how many arrangements are there? (4-1)! 3! = 6  These are all considered the same arrangement, just rotated differently. 4 3 2 1 3 2 4 1 2 1 4 3 1 3 2 4

  5. Example#3: If 4 people sit at a square table, how many arrangements are there if someone wants to sit next to the window? (4)! = 24 W i n d o w These are now different arrangements because the window is a reference point and it creates a linear permutation. 4 1 2 3 1 2 4 3 1 4 3 2 1 3 2 4

More Related