permutations when deciding who goes first and who goes second, order matters. an arrangement or...
TRANSCRIPT
![Page 1: Permutations When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation](https://reader036.vdocuments.us/reader036/viewer/2022082422/56649f145503460f94c28775/html5/thumbnails/1.jpg)
Permutations
When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation.
![Page 2: Permutations When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation](https://reader036.vdocuments.us/reader036/viewer/2022082422/56649f145503460f94c28775/html5/thumbnails/2.jpg)
An ice cream shop has 31 flavors. Carlos wants to buy a three-scoop cone with three different flavors. How many cones could he buy if the order of the flavors is important?
![Page 3: Permutations When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation](https://reader036.vdocuments.us/reader036/viewer/2022082422/56649f145503460f94c28775/html5/thumbnails/3.jpg)
In a race with 7 runners, how many ways can the runners end up in first, second and third place?
![Page 4: Permutations When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation](https://reader036.vdocuments.us/reader036/viewer/2022082422/56649f145503460f94c28775/html5/thumbnails/4.jpg)
The symbol P(31, 3) represents the number of permutations of 31 things taken 3 at a time.
P(31, 3) = 31 · 30 · 29
![Page 5: Permutations When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation](https://reader036.vdocuments.us/reader036/viewer/2022082422/56649f145503460f94c28775/html5/thumbnails/5.jpg)
Find the value.
P (8, 3)
![Page 6: Permutations When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation](https://reader036.vdocuments.us/reader036/viewer/2022082422/56649f145503460f94c28775/html5/thumbnails/6.jpg)
Find the value.
P (6, 6)
![Page 7: Permutations When deciding who goes first and who goes second, order matters. An arrangement or listing in which order is important is called a permutation](https://reader036.vdocuments.us/reader036/viewer/2022082422/56649f145503460f94c28775/html5/thumbnails/7.jpg)
Out of ten songs on a CD, 3 different songs are randomly selected to play without repeating a song. What is the probability that the first three songs on the CD are selected?