Gr12 Mathematics: Ch 9.3 The Fundamental Counting Principles

What is the fundamental counting principle used for?

To solve algebraic equations

To count large numbers of items

To know the different outcomes in combined events (correct)

To find the probability of an event

If there are 3 possible outcomes for event A and 4 possible outcomes for event B, what is the total number of possible outcomes for both events?

12 (correct)

10

7

If there are 5 objects to choose from and you choose from them 3 times, what is the total number of possibilities?

5 - 3

5^3 (correct)

5 x 3

5 + 3

What is the formula for the total number of outcomes for k events?

n_1 x n_2 x ... x n_k Signup and view all the answers

Why are mathematical techniques used in counting?

Because they help with counting large numbers Signup and view all the answers

What is the result of combining two events with 2 and 3 outcomes respectively?

6 outcomes Signup and view all the answers

What is the total number of outcomes if there are 4 possible outcomes for event A, 5 possible outcomes for event B, and 3 possible outcomes for event C?

4 × 5 × 3 Signup and view all the answers

If there are 7 objects to choose from and you choose from them 4 times, what is the total number of possibilities?

7 ^ 4 Signup and view all the answers

What is the formula for the total number of outcomes when there are two events with 3 and 4 outcomes respectively?

3 × 4 Signup and view all the answers

If there are 2 possible outcomes for event A, 3 possible outcomes for event B, and 2 possible outcomes for event C, what is the total number of outcomes?

2 × 3 × 2 Signup and view all the answers

What is the result of combining two events with 2 and 6 outcomes respectively?

2 × 6 Signup and view all the answers

If there are 8 objects to choose from and you choose from them 2 times, what is the total number of possibilities?

8 ^ 2 Signup and view all the answers

If there are 3 events, A, B, and C, with 2, 4, and 5 outcomes respectively, what is the total number of outcomes?

2 × 4 × 5 Signup and view all the answers

If you choose from 6 objects 5 times, with repetition allowed, what is the total number of possibilities?

6^5 Signup and view all the answers

What is the total number of outcomes if there are 2 events, A and B, with 3 and 2 outcomes respectively, and event A occurs before event B?

3 × 2 Signup and view all the answers

If there are 4 events, A, B, C, and D, with 2, 3, 2, and 4 outcomes respectively, what is the total number of outcomes?

2 × 3 × 2 × 4 Signup and view all the answers

If you choose from 9 objects 2 times, with repetition allowed, what is the total number of possibilities?

9^2 Signup and view all the answers

What is the total number of outcomes if there are 3 events, A, B, and C, with 2, 3, and 2 outcomes respectively, and the events occur simultaneously?