Fundamental Principle of Counting (Leaving Cert Mathematics): Flashcards

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Fundamental Principle of Counting
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What does Fundamental Principle of Counting calculate?

Total no. of possible outcomes in a sequence of events

Formula for 2 independent events (mm ways, nn ways)

m×nm \times n

Formula for kk events in Fundamental Principle of Counting

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

Independent events - definition in counting

Outcomes of one event don't affect outcomes of another

When is systematic counting useful?

When listing all possibilities is impractical

How to calculate total outcomes using this principle?

Multiply the no. of ways each event can occur

Outfits from 3 shirts and 2 trousers - how many?

3×2=63 \times 2 = 6 outfits

Two dice rolled - total possible outcomes?

6×6=366 \times 6 = 36 outcomes

Password structure in example

2 letters followed by 3 digits

Password: 2 letters (26) + 3 digits (10) - total?

26×26×10×10×10=676,00026 \times 26 \times 10 \times 10 \times 10 = 676,000

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