Fundamental counting principle (HSC SSCE Mathematics Extension 1): Flashcards
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What does the Fundamental Counting Principle calculate?
What does the Fundamental Counting Principle calculate?
It calculates total ways multiple events can occur.
How do you apply the Fundamental Counting Principle?
How do you apply the Fundamental Counting Principle?
Multiply the number of ways each event can occur.
Example of clothing combinations using the principle?
Example of clothing combinations using the principle?
3 shirts and 2 hats yield 6 combinations.
What is the formula for two events in counting?
What is the formula for two events in counting?
m × n, where m and n are ways each event can occur.
How many meal combinations from 3 starters, 4 mains, 2 desserts?
How many meal combinations from 3 starters, 4 mains, 2 desserts?
24 meal combinations from 3 × 4 × 2.
What is a common pitfall of the counting principle?
What is a common pitfall of the counting principle?
It doesn't apply when events overlap.
How many possible number plates with 3 letters and 2 numbers?
How many possible number plates with 3 letters and 2 numbers?
1,757,600 possible plates calculated as 26^3 × 10^2.
What are permutations and combinations?
What are permutations and combinations?
Permutations: order matters; combinations: order doesn't.
What does the multiplication principle expand on?
What does the multiplication principle expand on?
It expands on the fundamental counting principle.
What is the limitation of the Fundamental Counting Principle?
What is the limitation of the Fundamental Counting Principle?
It doesn't apply when events overlap.