Practice Examples of Product Rule - 10.2 | 10. Basic Rules of Counting | Discrete Mathematics - Vol 2
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10.2 - Examples of Product Rule

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

How many ways can you assign 3 different gifts to 2 people?

💡 Hint: Think about the choices for each person.

Question 2

Easy

If an office has 4 desks, how many ways can 2 different employees choose desks?

💡 Hint: Use the product rule for independent choices.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

If a task can be done in 4 ways and another can be done in 3 ways, how many total ways?

  • 7
  • 12
  • 1

💡 Hint: Recall the product rule.

Question 2

True or False: The product rule can apply when tasks are dependent.

  • True
  • False

💡 Hint: Think about task dependencies.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

How many different passwords can a system allow with combinations of 3 letters and 2 digits?

💡 Hint: Use the product rule on groups.

Question 2

Calculate the number of ways to arrange 5 different books on a shelf of 3 spaces.

💡 Hint: Think about reducing options for each book placed.

Challenge and get performance evaluation