Permutations

1. Permutations Jessica O’Donnell

2. Math Journal: Permutations: Arrangements where the order matters. It would be like the runners in a race. Who will come in first, second, or third?

3. How many different ways could they be put in order? Sally Sally Sally Sally Sally Sally Cheetah Cheetah Cheetah Cheetah Cheetah Cheetah Larry Larry Larry Larry Larry Larry Let’s start with Sally being first ~ then you just need Cheetah and Larry to switch places. Now have Cheetah be first ~ Larry and Sally can switch places Finally, we will let Larry be first ~ Switch Sally and Cheetah

4. How many different ways could they be put in order? 5 1 Sally Sally Sally Sally Sally Sally Cheetah Cheetah Cheetah Cheetah Cheetah Cheetah Larry Larry Larry Larry Larry Larry 6 2 How many permutations did we make? 3 6 4

5. Let’s try this again except this time we will use books Reading Science Math Lets start with the math books being first. R M S Now Science. M S R M S R S R M Now lets put reading first. S R M 6 R M S Total Combinations:

6. Let’s try this again except this time we will use numbers Lets start with the 5 first. 0 5 8 Now 8. 0 8 5 5 8 0 8 5 0 Now lets put 0 first. 5 0 8 6 0 8 5 Total Combinations:

7. Now your turn to try Take out your white board

8. Let’s try this again except this time we will use pies lemon apple pumpkin DO THIS ON YOUR WHITE BOARD AND THE TEACHER WILL COME AROUND AND CHECK THEN YOU CAN CHECK YOU ANSWER Lets start with the apple first. P A L Now lemon. A L P A L P L P A Now lets put pumpkin first. A P L 6 P L A Total Combinations: