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Get out your ISN!
You will be able to solve permutations.
You will be able to solve combinations.
Today’s Objectives:
Agendas
Probability Quiz 6 ISN 33-38
Tuesday, Dec. 9th
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
Big Picture
1st page
3rd page
2nd page
Right Side Input
38
12/01
Permutations & Combinations
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Foldable
Foldable
AB AC BA BC CA CB
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
Foldable
𝟖 !(𝟖−𝟑 ) !
=𝟑𝟑𝟔8
3
yes
𝟕 !(𝟕−𝟐 )!
=𝟒𝟐7
2
yes
ten
𝟏𝟎 !(𝟏𝟎−𝟑 ) !
=𝟕𝟐𝟎10
3
yes
Foldable
¿𝒏!
( (𝒏−𝒓 ) !𝒓 !)𝒏𝑪𝒓𝒏𝑪𝒓
Foldable-Combinations
AB BC CA
32
❑𝟑𝑪𝟐=𝟑!
(𝟑−𝟐 )!𝟐 !=𝟑×𝟐×𝟏𝟏×𝟐×𝟏
¿𝟑
𝟏𝟐 !(𝟏𝟐−𝟓 ) !𝟓 !
=𝟕𝟗𝟐12 5NO!
𝟏𝟓 !(𝟏𝟓−𝟗 ) !𝟗 !
=𝟓 ,𝟎𝟎𝟓15 9
NO!
𝟑𝟐 !(𝟑𝟐−𝟏𝟐) !𝟏𝟐 !
=𝟐𝟐𝟓 ,𝟕𝟗𝟐 ,𝟖𝟒𝟎32 12NO!
𝟐𝟎 !(𝟐𝟎−𝟏𝟓) !𝟏𝟓 !
=𝟏𝟓 ,𝟓𝟎𝟒20 15NO!
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!
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!
Foldable-Practice
𝟏𝟖 !(𝟏𝟖−𝟓 ) !
=?
𝟒 !(𝟒−𝟒 )!
=?
Foldable-Practice
𝟏𝟐 !(𝟏𝟐−𝟔 ) !𝟔 !
=?
𝟑𝟎 !(𝟑𝟎−𝟒 )!𝟒 !
=?
Foldable-Practice
𝒀𝒐𝒖𝑻𝒓𝒚 !
𝒀𝒐𝒖𝑻𝒓𝒚 !
37
12/01 LeftSide Input
Permutations & Combinations
Tap
e H
ere
Tap
e H
ere
Tape it like a
hinge!
HomeworkLEFT side
