Permutations and Combinations SWBAT find all the permutations and combinations for a set.

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Permutations and Combinations SWBAT find all the permutations and combinations for a set

Definitions If you have to create groups you need to know if they are a permutation or a combination In permutations - Order matters. In permutations - Order matters. Multiply the number choice for options1 x option2 x option 3 In combinations - Order does NOT matter. In combinations - Order does NOT matter. Multiply the number choice for options1 x option2 x option 3 Then multiply to find the number of arrangements Divide the two numbers to get your combination

Examples Connor, Gilbert, and Ethan want to sit together in the same row to watch Wreck it Ralph. How many different seating arrangements are there? Amani, Daniel, Alex, and Amber have to make two man teams to compete in the math contest. How many different two man teams can be formed? If the same kids are going, but one is the contestant and the second is an alternate, how does that change the number of teams that can be formed?

Examples 3 out of 5 students can win an essay contest. How many different ways can the winners be selected? Demetrius can only take 3 out of 5 subjects offered during the marking period. How many different ways can he choose subjects?

Get out a piece of paper Are the following combinations or permutations? 1. A phone number 2. Items checked off a list 3. Four group members selected from class 4. Three runners awarded prizes in a race 5. Six people randomly selected for a survey 6. Digits in the number of an address

How many permutations? 7. Three of the digits 3, 5, 7, and 9 8. Four of the letters A, B, C, D, and E 9. How many combinations for number How many combinations for number A novel, an art book, a history book, and a math book are lined up on a shelf. In how many ways can they be arranged?