A112­8Combinations.notebook November 18, 2014 Algebra 1 Ch.12 Notes Page 66 P66 12­8 Combinations Sep 2­8:31 AM 1 A112­8Combinations.notebook November 18, 2014 Suppose you are making a sandwich with three of these ingredients: Turkey, Cheese, Tomato, and Lettuce. Below are the permutations of the four ingredients listed 3 at a time. How many different sandwiches could you really make? Jan 10­11:43 AM 2 A112­8Combinations.notebook November 18, 2014 Combinations An Arrangement of Items where ORDER IS NOT IMPORTANT How many ways can you pick 2 out of 3 letters when order is not important from the letters A, B, C ??? Jan 10­11:43 AM 3 A112­8Combinations.notebook November 18, 2014 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? Jan 10­11:43 AM 4 A112­8Combinations.notebook November 18, 2014 Example Twenty people report for jury duty. How many differnt twelve person juries can be chosen? Jan 10­11:43 AM 5 A112­8Combinations.notebook November 18, 2014 Special Combinations 5 C 5 = ? 4 C 4 = ? Jan 12­10:09 AM 6 A112­8Combinations.notebook November 18, 2014 HW #72 1­6 P44 #1­4,6,10,14 12­7 P702 #1­5,7­14 12­8 P709 #1­5,11,12 Please put your name and class period at the top of the homework. Also include the homework number. Oct 14­2:27 PM 7