1. 12-6 Combinations Goal: Use Combinations to count the number of ways an event can happen.

2. Vocabulary Combinations: ▫The number of ways objects can be put into a group. ▫Symbol: n C r OR C(n,r) ▫Formula: n is the total number of items (bigger #) r is the number being put in the group (smaller #) ▫On Calculator: MATH  PRB  nCr

3. Examples 1.How many groups of 3 students could I create in this classroom? 2.There is a group of 50 workers and only 8 are going to attend a conference. How many groups could attend the conference? 3.There are 10 women and 8 men in a club. How many groups of 3 could be created? 536,878,650 816

4. Examples 4.There are 52 cards in a deck. How many different 5 card hands could be dealt? 5.There are 15 books on a summer reading list. If you only have to read 5 books, how many different groups of 5 could you read? 3003 2,598,960

5. A.35 B.840 C.148 D.46 Jacky is packing for her vacation to the mountains. With all her heavy snow gear, she only has room left for 4 more outfits to wear. If she has 7 different outfits laid out on the bed, how many ways can the 4 outfits be chosen?

6. Practice Worksheet – “Combinations”

7. Donut Shop How many different donuts can be created with: A.1 filling and 1 topping? B.Jelly and 3 toppings? C.Chocolate Cream and 4 toppings? D.2 toppings and any filling? FillingsToppings JellySprinkles CreamChocolate Frosting Chocolate CreamVanilla Frosting Boston CreamGlaze Powder 20 10 40 5

8. Ice Cream Shop How many different ice creams can be created with: A.Chocolate ice cream and 3 toppings? B.Strawberry ice cream and 2 toppings? C.3 toppings and any flavor? D.4 toppings and any flavor? FlavorsToppings ChocolateChocolate Syrup VanillaPeanut Butter Mint Chocolate ChipCaramel CoffeeNuts StrawberrySprinkles Peanut ButterM & M’s 20 15 120 90

9. Practice telling the difference between Permutations and Combinations Page 789-790 #2-4, 20-24

10. A.permutation B.combination A teacher assigns selects the order of five students who are giving presentations today. Identify the situation as a permutation or a combination.

11. Homework Worksheet – “12-6 Counting Principle, Permutation and Combinations Homework”