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**Fundamental Principle of Counting**

(c) Project Maths Development Team Next Slide

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**(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

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**(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

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**(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

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**(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

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**(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

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**(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

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**(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

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**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

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**(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

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**(c) Project Maths Development Team**

Click for worksheet (c) Project Maths Development Team

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#1 (hint: kids love these for dinner). #2 (snack/ sweets)

#1 (hint: kids love these for dinner). #2 (snack/ sweets)

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