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(c) Project Maths Development Team Fundamental Principle of Counting 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? BurgerIce cream BurgerCake Click for visual Click for table 2 Choices 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? BurgerIce cream BurgerCake SteakIce Cream SteakCake Click for visual Click for table Click for variations 4 Choices 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? BurgerIce cream BurgerCake SteakIce Cream SteakCake SalmonIce Cream SalmonCake Click for visual Click for table Click for variations 6 Choices 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? Espresso Twix Mars Kit Kat. Latte Twix Mars Kit Kat 6 choices Click for visual 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? Espresso Twix Mars Kit Kat. Latte Twix Mars Kit Kat Cappuccino Twix Mars Kit Kat 9 choices Click for visual 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 Click for each variation 9 choices 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 Next Slide

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(c) Project Maths Development Team Fundamental Principle of Counting 12 Choices3 Trailers4 Tractors 6 Choices3 Bars2 Coffees 4 Choices2 Sweets2 Main Courses 6 Choices2 Sweets3 Main Course 2 Choices2 SweetsI Main Course M*N ChoicesN ItemsM Items 9 Choices3 Trailers3 Tractors 9 Choices3 Bars3 Coffees Choices Click for each answer Item 2Item 1 This is the Fundamental Principle of Counting

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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. Next Slide

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(c) Project Maths Development Team Click for worksheetworksheet

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