The Fundamental Counting Principle (Grade 12 NSC Matric Mathematics): Quizzes

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The Fundamental Counting Principle
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What does the fundamental counting principle say about independent events?

Multiply outcomes for each event

If event A has n(A)n(A) outcomes and event B has n(B)n(B) outcomes, what is the total?

n(A)×n(B)n(A) \times n(B)

A meal has 4 sandwiches, 3 soups, 2 desserts, 5 drinks. How many meal combinations?

120

How many outcomes when rolling a die and tossing a coin?

12

What formula is used when choosing rr times from nn objects with repetition allowed?

nrn^r

If a coin is flipped 3 times, how many different sequences are possible?

8

6 matches, each with 3 results (win/draw/loss). How many result sequences are possible?

729

When is the counting principle preferred over tree diagrams?

Large numbers of outcomes

What condition must be met for events to use the fundamental counting principle?

Events must be independent

Using letters A, B, C, D, how many 3-letter patterns with repetition allowed?

64

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