Fundamental Principle of Counting (Leaving Cert Mathematics): Quizzes

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Fundamental Principle of Counting
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If one event occurs in mm ways and another in nn ways, what is the total number of outcomes?

m×nm \times n

What does 'independent events' mean in the Fundamental Principle of Counting?

One event doesn't affect another

A person has 3 shirts and 2 trousers. How many different outfits can they wear?

6 outfits

Two dice are rolled. How many different outcomes are possible?

36 outcomes

For kk events with m1,m2,…,mkm_1, m_2, \ldots, m_k ways, what is the formula for total outcomes?

m1×m2×…×mkm_1 \times m_2 \times \ldots \times m_k

A password has 2 letters (26 choices each) and 3 digits (10 each). How many passwords?

676,000 passwords

Why is the Fundamental Principle of Counting useful?

It calculates without listing all

A menu has 4 starters and 5 mains. How many starter-main combinations are possible?

20 combinations

A code has 4 positions, each with 8 choices. How many unique codes?

848^4 codes

What does the Fundamental Principle of Counting calculate?

Total possible outcomes

Explore Leaving Cert Mathematics Revision Notes by Topics

Fundamentals of Probability

The Basics of Counting

Permutations / Arrangements

The Basics of Probability

Combinations

Set Theory and Probability

Combined Events/Bernouilli Trials

Events

Expected Value

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Expected Value

Explore Leaving Cert Mathematics Model Answers by Topics

Fundamentals of Probability

The Basics of Counting

Permutations / Arrangements

The Basics of Probability

Combinations

Set Theory and Probability

Combined Events/Bernouilli Trials

Events

Expected Value

Show more

Expected Value

Explore Leaving Cert Mathematics Flashcards by Topics

Fundamentals of Probability

The Basics of Counting

Permutations / Arrangements

The Basics of Probability

Combinations

Set Theory and Probability

Combined Events/Bernouilli Trials

Events

Expected Value

Show more

Expected Value

Explore Leaving Cert Mathematics Exam Questions by Topics

Fundamentals of Probability

The Basics of Counting

Permutations / Arrangements

The Basics of Probability

Combinations

Set Theory and Probability

Combined Events/Bernouilli Trials

Events

Expected Value

Show more

Expected Value

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