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

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Presentation transcript:

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

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

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,

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? ,598,960

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?

Practice Worksheet – “Combinations”

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

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

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

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.

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