1. Fundamental Principle of Counting
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2. (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?
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Burger
Ice cream
Cake
2 Choices
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3. (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?
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Burger
Ice cream
Cake
Steak
Ice Cream
4 Choices
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4. (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?
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Burger
Ice cream
Cake
Steak
Ice Cream
Salmon
6 Choices
Click for variations
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5. (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?
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6 choices .
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6. (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?
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9 choices .
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7. (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?
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9 choices
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8. (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?
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Click for each variation
12 choices
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9. Fundamental Principle of Counting
Item 1
Item 2
Choices
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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
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10. (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.
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11. (c) Project Maths Development Team
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