Permutations
4
Click here to load reader
-
Upload
samantha-turi -
Category
Automotive
-
view
292 -
download
1
Transcript of Permutations
![Page 1: Permutations](https://reader038.fdocuments.net/reader038/viewer/2022100518/5597da151a28abb85e8b4736/html5/thumbnails/1.jpg)
![Page 2: Permutations](https://reader038.fdocuments.net/reader038/viewer/2022100518/5597da151a28abb85e8b4736/html5/thumbnails/2.jpg)
Forty-three race cars started the 2004 Daytona 500. How many ways can the cars finish first, second, and third?
![Page 3: Permutations](https://reader038.fdocuments.net/reader038/viewer/2022100518/5597da151a28abb85e8b4736/html5/thumbnails/3.jpg)
You need to select three race cars from a group of 43, so n = 43 and r = 3. Because the order’s important, the number of ways the cars can finish first, second, or third is:
![Page 4: Permutations](https://reader038.fdocuments.net/reader038/viewer/2022100518/5597da151a28abb85e8b4736/html5/thumbnails/4.jpg)
nPr = 43P3 = 43! ---------- (43 – 3)!
= 43! ---------
40!
= 43 x 42 x 41
= 74,046