U 6 S 3 L 1 Permutations Combinations

U 6 -S 3 -L 1 Permutations & Combinations Essential Question: How do you evaluate permutations and combinations?

Main Idea • You have studied basic statistics in middle school math and throughout other concepts in high school. • We are going to work on permutations and combinations. You will use features on your graphing calculator to find the values.

Brainstorming • How many ways can you and your friends sit at the movies? • How many ways can the lottery numbers be ordered? • How many pizzas can be made from the offered toppings? • What are ways to figure out these solutions?

Finding Possibilities • How many ways can these winners stand on the podiums?

Finding Possibilities • How many ways can four runners finish?

Factorials

Permutations • Permutation: Permutation an arrangement of items in a particular order. (order matters) • You find the number of arrangements by using the Multiplication Counting Principle

Permutations • What strategies did you use for the previous problem? What happens if the numbers get too large?

Permutation/Factorial

Permutations

Combinations • Combination: a selection in which order does not matter. • (Calculates possibilities without order mattering)

Combinations

Basic Combinations

Combinations

Summary • Write a paragraph, with detailed, complete sentences. • How do you evaluate permutations and combinations? • Write 3 -5 study questions in the left column to correspond with the notes.