12.1 Counting Key Q-How many outcomes can an event have? Fundamental Counting Principle More than one event to take into account. Multiply all events.

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Presentation transcript:

12.1 Counting Key Q-How many outcomes can an event have? Fundamental Counting Principle More than one event to take into account. Multiply all events

You are getting dressed in the morning, you have three different shirts, two different pants and five ties. How many outfits can you make up?

License Plate On a license plate the first four symbols are letters and the last three symbols are digits. How many plates can you make if letters and numbers can repeat? How many plates can you make if they can not repeat?

You are making a sandwich, you have to pick between turkey, ham, or roast beef. You can pick either American or Swiss cheese. And you can pick to use a roll or bread. How many different sandwiches can you make?

Factorial Every item in the list is being placed in order. ! There are 7 friends going to the movies, how many ways can they seat?

There is a class of 18 kids, how many seating charts can be made up? You have five pictures that you want to hang on the wall. How many ways can you arrange the pictures?

Permutations 1.Not every item in the list is being used. 2.Order matters. There are 18 kids in a class. You are making a seating chart with 6 front row desks. How many ways can you have the kids sit in the front row?

You are in a contest for the best homemade hat to wear to the horse races. There are 20 people entered in the contest. First place will win $100, second place will win $50, and third place will win $10. How many ways can the competitors finish?

How many ways can you arrange the letters in… MIKE BOOTH MISSISSIPPI

Combination There are 18 students in a class and you need three to go get mail from the office. How many ways can you pick those three students? 1.Not every item in the list is being used. 2.Order does not matter.

You are making a pizza, you have 8 different toppings to pick from but can only use two. How many pizzas can you make?

At the deli you have many different sandwiches to pick from. They have ten different meats to use but can only pick two. They have five different cheeses to use but can only pick two. There are ten different toppings and you can only pick 3. How many different sandwiches can you make?

You have 20 kids in a class, you can pick anywhere from 3 to 5 of them to get out of class early to make it to lunch first each day. How many ways could you pick those students?