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Algebra 2 C h.6 Notes Page 22 P 22 6-7 Permutations and Combinations

Algebra 2 C h.6 Notes Page 22 P 22 6-7 Permutations and Combinations. Multiplication Counting Principle. If there are m ways to make a first selection and n ways to make a second selection, there are m x n ways to make the two selections. You have 3 Pants, 5 Shirts, and 2 Jackets.

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Algebra 2 C h.6 Notes Page 22 P 22 6-7 Permutations and Combinations

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  1. Algebra 2 Ch.6 Notes Page 22 P22 6-7 Permutations and Combinations

  2. Multiplication Counting Principle If there are m ways to make a first selection and n ways to make a second selection, there are m x n ways to make the two selections. You have 3 Pants, 5 Shirts, and 2 Jackets. How many outfits could you wear? How many different letter arrangements could you make with the word ROCKY?

  3. Permutation Calculation n P r n = how many things in the group. r = how many of the things that you are picking at a time. Start at the number n and use the first r numbers going toward zero. How many ways can you pick 3 people out of 8 when order is important? 5P3 You can not pick more things from the group than 5 in this example.

  4. Special Permutations How many ways can you line up everything in the group? (Not just pick a few.) Factorial (!) How many different ways can you line up a group of 5 things? (When order is important.) 5! = 5x4x3x2x1 = 120 5 P 5 = 5x4x3x2x1 = 120 xPx = x! = Calculate Example: How many different batting orders can you have with 9 baseball players?

  5. Combination Calculation n C r n = how many things in the group. r = how many of the things that you are picking at a time. Start at the number n and use the first r numbers going toward zero. Just like a Permuation. However, you have to divide by r! to get rid of all of the duplicates. How many ways can you pick 3 people out of 8 when Order is Not Important?

  6. Graphing Calculator Math PRB Option 2, 3, and 4

  7. HW #21 1-6 P42 #1,6,7,10,15,17 6-7 P348 #1,2,5,6,10-13,18-24,29-32,40,46-49,56 Please put your name and class period at the top of the homework. Also include the homework number.

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