Fundamental Principle of Counting

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Presentation transcript:

Fundamental Principle of Counting (c) Project Maths Development Team Next Slide

(c) Project Maths Development Team A cafe serves burgers and two different kinds of sweets, ice cream and cake. How many different variations in meals can a customer have? Click for visual Click for table Burger Ice cream Cake 2 Choices (c) Project Maths Development Team Next Slide

(c) Project Maths Development Team A cafe serves 2 main courses, burger and steak and two sweets, ice cream and cake. How many different variations in meals can a customer have? Click for visual Click for table Burger Ice cream Cake Steak Ice Cream 4 Choices Click for variations (c) Project Maths Development Team Next Slide

(c) Project Maths Development Team A cafe serves 3 main courses, burger, steak and salmon and two sweets, ice cream and cake. How many different variations in meals can a customer have? Click for visual Click for table Burger Ice cream Cake Steak Ice Cream Salmon 6 Choices Click for variations (c) Project Maths Development Team Next Slide

(c) Project Maths Development Team If a student can have either an Espresso or a Cappuccino and a Twix, Mars or Kit Kat. How many different snacks consisting of a drink and a bar can they have? Click for visual 6 choices . (c) Project Maths Development Team Next Slide

(c) Project Maths Development Team If a student can have either an Espresso, Latte or a Cappuccino and a Twix, Mars or Kit Kat. How many different snacks of a drink and a bar can they have? Click for visual 9 choices . (c) Project Maths Development Team Next Slide

(c) Project Maths Development Team A farmer wants to buy a tractor and a trailer. He has three choices for a tractor and three for a trailer. How many different sets of equipment has, he to choose from? Click for visual 9 choices Click for each variation (c) Project Maths Development Team Next Slide

(c) Project Maths Development Team A farmer wants to buy a tractor and a trailer. He has four choices for a tractor and three for a trailer. How many different sets of equipment has, he to choose from? Click for visual Click for each variation 12 choices (c) Project Maths Development Team Next Slide

Fundamental Principle of Counting Item 1 Item 2 Choices Click for each answer I Main Course 2 Sweets 2 Choices 2 Main Courses 2 Sweets 4 Choices 3 Main Course 2 Sweets 6 Choices 2 Coffees 3 Bars 6 Choices 3 Coffees 3 Bars 9 Choices 3 Tractors 3 Trailers 9 Choices 4 Tractors 3 Trailers 12 Choices M Items N Items M*N Choices This is the Fundamental Principle of Counting (c) Project Maths Development Team

(c) Project Maths Development Team More than 2 choices Note the Fundamental Principle of Counting also applies, if one has more than 2 choices. For example, if one has 3 items to choose from and there are N choices for the first one, M for the second and D for the third. Then there are M*N*D possible outcomes. (c) Project Maths Development Team Next Slide

(c) Project Maths Development Team Click for worksheet (c) Project Maths Development Team