Unit 5A Probability Permutations.

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Presentation transcript:

Unit 5A Probability Permutations

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

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

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

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

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?

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

Closure Question: What is a Permutation? Exit Ticket Homework: Practice # 1 - 10

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

Homework