Fundamental Principle of Counting c Project Maths Development

A cafe serves burgers and two different kinds of sweets, ice cream and cake.

A cafe serves 2 main courses, burger and steak and two sweets, ice cream

A cafe serves 3 main courses, burger, steak and salmon and two sweets, ice

If a student can have either an Espresso or a Cappuccino and a Twix,

If a student can have either an Espresso, Latte or a Cappuccino and a

A farmer wants to buy a tractor and a trailer. He has three choices

A farmer wants to buy a tractor and a trailer. He has four choices

Fundamental Principle of Counting Item 1 Item 2 Choices Click for each answer I

More than 2 choices Note the Fundamental Principle of Counting also applies, if one

Click for worksheet (c) Project Maths Development Team

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

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 Burger Cake 2 Choices (c) Project Maths Development Team Next Slide

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 Burger Cake Steak Ice Cream Steak Cake 4 Choices Click for variations (c) Project Maths Development Team Next Slide

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 Burger Cake Steak Ice Cream Steak Cake Salmon Ice Cream Salmon Cake 6 Choices Click for variations (c) Project Maths Development Team Next Slide

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 Espresso Twix Mars Kit Kat Latte Twix 6 choices Mars Kit Kat . (c) Project Maths Development Team Next Slide

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 Espresso Twix Mars Kit Kat Latte Cappuccino Twix 9 choices . Mars Kit Kat (c) Project Maths Development Team Next Slide

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

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

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

Click for worksheet (c) Project Maths Development Team