9-4 Permutations (pg 381-383) Indicator – D7. Permutation: an arrangement, or listing, of objects...

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9-4 Permutations (pg 381-383) Indicator – D7

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If the permutation includes all the members it can be written as a factorial – n! (n members = n x (n-1) x (n-2)… × 1 or n!) (Start at n and count backward until you get to 1, multiply all of those numbers.) Example: How many ways can you arrange12 students in a class picture? 12P12 = 12 × 11 × 10 × … × 1 or 12! = 479,001,600 ways!! Calculator Keys: 12 PRB > > ! = Screen Looks like: 12! Press = again.

Transcript of 9-4 Permutations (pg 381-383) Indicator – D7. Permutation: an arrangement, or listing, of objects...

Page 1: 9-4 Permutations (pg 381-383) Indicator – D7. Permutation: an arrangement, or listing, of objects in which order is important (you can use the to find.

9-4 Permutations(pg 381-383)

Indicator – D7

Page 2: 9-4 Permutations (pg 381-383) Indicator – D7. Permutation: an arrangement, or listing, of objects in which order is important (you can use the to find.

Permutation: an arrangement, or listing, of objects in which order is important (you can use the to find the # of possible arrangements)

Ex: How many ways can 5 classes be arranged during 1st to 3rd period?

5P3 =

FCP

5X4X3= 60

Page 3: 9-4 Permutations (pg 381-383) Indicator – D7. Permutation: an arrangement, or listing, of objects in which order is important (you can use the to find.

If the permutation includes all the members it can be written as a factorial – n!

• (n members = n x (n-1) x (n-2)… × 1 or n!)• (Start at n and count backward until you get to 1,

multiply all of those numbers.)Example: How many ways can you arrange12

students in a class picture?12P12 = 12 × 11 × 10 × … × 1 or 12! = 479,001,600 ways!!Calculator Keys: 12 PRB > > ! = Screen Looks like: 12! Press = again.

Page 4: 9-4 Permutations (pg 381-383) Indicator – D7. Permutation: an arrangement, or listing, of objects in which order is important (you can use the to find.

You Try

• There are 8 runners in a 5K race. How many different arrangements are there for the 1st , 2nd, and 3rd places

• 8P3• Answer: 8 × 7 × 6 = 336 different

arrangements of winners

Page 5: 9-4 Permutations (pg 381-383) Indicator – D7. Permutation: an arrangement, or listing, of objects in which order is important (you can use the to find.

There are 5 students in line to board a bus. How many different ways could the students board the bus?

• 5 P 5• Answer: 5! = 120 different arrangements


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