Gr12 Mathematics: Ch 9.3 The Fundamental Counting Principles
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Questions and Answers

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)
  • 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?

<p>n_1 x n_2 x ... x n_k (D)</p> Signup and view all the answers

Why are mathematical techniques used in counting?

<p>Because they help with counting large numbers (C)</p> Signup and view all the answers

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

<p>6 outcomes (D)</p> 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?

<p>4 × 5 × 3 (A)</p> 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?

<p>7 ^ 4 (C)</p> 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?

<p>3 × 4 (A)</p> 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?

<p>2 × 3 × 2 (A)</p> Signup and view all the answers

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

<p>2 × 6 (D)</p> 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?

<p>8 ^ 2 (C)</p> 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?

<p>2 × 4 × 5 (D)</p> Signup and view all the answers

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

<p>6^5 (D)</p> 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?

<p>3 × 2 (B)</p> 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?

<p>2 × 3 × 2 × 4 (B)</p> Signup and view all the answers

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

<p>9^2 (C)</p> 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?

<p>2 × 3 × 2 (A)</p> Signup and view all the answers

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