1. Unit 5A Probability
Permutations

2. Lesson 6: Permutations
Objective: Swbat find the number of permutations of a set of objects. Do Now:

3. Lesson 6: Permutation
Definition Permutation is an arrangement , or listing of objects in which order is important.

4. Lesson 6: Permutation
Example 1: Julia is scheduling her first three classes. Her choices are Math, Science and ELA. How many different ways can she schedule her first three classes? 1st Class 2nd Class 3rd Class 3 choices 2 choices 1 choice 3P3 or P(3,3) 3 ∙ 2 ∙ 1 = 6 ways M,S,E S,M,E E,M,S M,E,S S,E,M E,S,M

5. Lesson 6: Permutation
Example 2: An ice cream shop has 31 flavors. Carlos wants to buy a 3 scoop cone with 3 different flavors. How many ways can he have a cone? 1st Scoop 2nd Scoop 3rd Scoop 31 choices 30 choices 29 choices 31P3 or P(31,3) 31 ∙ 30 ∙ 29 = 26,970 ways

6. Lesson 6: Permutation Find the permutations. P(8,3) P(12,2) P(4,4)
5. Two different letters are randomly selected
from the letters in the word MATH. What is the
probability that the first letter selected in M and the second letter is H?

7. Classwork
Guided Practice #1 – 4 Independent Practice #1 – 7 Problem Solving Practice #1 - 8

8. Closure
Question: What is a Permutation? Exit Ticket Homework: Practice #

9. Exit Ticket
How many permutations are possible of the Letters in the word FRIEND?

10. Homework