![Page 1: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/1.jpg)
Get out your ISN!
You will be able to solve permutations.
You will be able to solve combinations.
Today’s Objectives:
![Page 2: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/2.jpg)
Agendas
Probability Quiz 6 ISN 33-38
Tuesday, Dec. 9th
![Page 3: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/3.jpg)
37-38 Permutations &
Permutations—an arrangement of objects in which the order of the objects makes a differenceCombinations—A selection of distinct objects in which ORDER does NOT distinguish one set of objects from another.
TOC
WWKCombinations
![Page 4: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/4.jpg)
Big Picture
![Page 5: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/5.jpg)
1st page
3rd page
2nd page
![Page 6: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/6.jpg)
Right Side Input
38
12/01
Permutations & Combinations
Tap
e H
ere
Tap
e H
ere
Tap
e H
ere
Tap
e H
ere
Tap
e H
ere
Tap
e H
ere
Tap
e H
ere
Tap
e H
ere
![Page 7: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/7.jpg)
Foldable
![Page 8: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/8.jpg)
Foldable
AB AC BA BC CA CB
![Page 9: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/9.jpg)
FoldableEXAMPLE 1:If you are given {A, B, C} and asked to identify unique permutations, choosing two elements at a time,
32
❑𝟑𝑷𝟐=𝟑 !
(𝟑−𝟐 )!=𝟑×𝟐×𝟏
𝟏¿𝟔
![Page 10: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/10.jpg)
Foldable
![Page 11: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/11.jpg)
𝟖 !(𝟖−𝟑 ) !
=𝟑𝟑𝟔8
3
yes
![Page 12: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/12.jpg)
𝟕 !(𝟕−𝟐 )!
=𝟒𝟐7
2
yes
![Page 13: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/13.jpg)
ten
𝟏𝟎 !(𝟏𝟎−𝟑 ) !
=𝟕𝟐𝟎10
3
yes
![Page 14: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/14.jpg)
Foldable
¿𝒏!
( (𝒏−𝒓 ) !𝒓 !)𝒏𝑪𝒓𝒏𝑪𝒓
![Page 15: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/15.jpg)
Foldable-Combinations
AB BC CA
32
❑𝟑𝑪𝟐=𝟑!
(𝟑−𝟐 )!𝟐 !=𝟑×𝟐×𝟏𝟏×𝟐×𝟏
¿𝟑
![Page 16: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/16.jpg)
𝟏𝟐 !(𝟏𝟐−𝟓 ) !𝟓 !
=𝟕𝟗𝟐12 5NO!
𝟏𝟓 !(𝟏𝟓−𝟗 ) !𝟗 !
=𝟓 ,𝟎𝟎𝟓15 9
NO!
![Page 17: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/17.jpg)
𝟑𝟐 !(𝟑𝟐−𝟏𝟐) !𝟏𝟐 !
=𝟐𝟐𝟓 ,𝟕𝟗𝟐 ,𝟖𝟒𝟎32 12NO!
𝟐𝟎 !(𝟐𝟎−𝟏𝟓) !𝟏𝟓 !
=𝟏𝟓 ,𝟓𝟎𝟒20 15NO!
![Page 18: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/18.jpg)
Big Idea:Pick 4 students that you would want to represent this class if we were a government…
This is a combination!These four students can be
rearranged in front of the class and they are still the FOUR we picked!
![Page 19: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/19.jpg)
Pick 4 students that you would want to represent this class by job title if we were a government:President, Vice President, Treasurer, Secretary
Big Idea:
This is a permutation!If the four students are rearranged
their jobs change! Therefore ORDER MAKES A DIFFERENCE!
![Page 20: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/20.jpg)
Foldable-Practice
𝟏𝟖 !(𝟏𝟖−𝟓 ) !
=?
𝟒 !(𝟒−𝟒 )!
=?
![Page 21: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/21.jpg)
Foldable-Practice
𝟏𝟐 !(𝟏𝟐−𝟔 ) !𝟔 !
=?
𝟑𝟎 !(𝟑𝟎−𝟒 )!𝟒 !
=?
![Page 22: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/22.jpg)
Foldable-Practice
𝒀𝒐𝒖𝑻𝒓𝒚 !
𝒀𝒐𝒖𝑻𝒓𝒚 !
![Page 23: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/23.jpg)
37
12/01 LeftSide Input
Permutations & Combinations
Tap
e H
ere
Tap
e H
ere
Tape it like a
hinge!
![Page 24: Get out your ISN! You will be able to solve permutations. You will be able to solve combinations. Today’s Objectives:](https://reader030.vdocuments.site/reader030/viewer/2022032607/56649eca5503460f94bd7a32/html5/thumbnails/24.jpg)
HomeworkLEFT side