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1. (c) Project Maths Development Team
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?
Burger Ice
cream
Burger Cake
Click for visual Click for table
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?
Burger Ice
cream
Burger Cake
Steak Ice
Cream
Steak Cake
Click for visual Click for table
Click for variations
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?
Burger Ice
cream
Burger Cake
Steak Ice
Cream
Steak Cake
Salmon Ice
Cream
Salmon Cake
Click for visual Click for table
Click for variations
6 Choices
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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?
Espresso
Twix
Mars
Kit Kat
.
Latte
Twix
Mars
Kit Kat
6 choices
Click for
visual
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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?
Espresso
Twix
Mars
Kit Kat
.
Latte
Twix
Mars
Kit Kat
Cappuccino
Twix
Mars
Kit Kat
9 choices
Click for
visual
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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?
Click for visual
Click for each variation
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?
Click for visual
Click for each variation
12 choices
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9. (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
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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