Practice Product Rule (10.1) - Basic Rules of Counting - Discrete Mathematics - Vol 2
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Product Rule

Practice - Product Rule

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

How many distinct outfits can you create with 2 shirts and 3 pairs of pants?

💡 Hint: Multiply the number of shirts by the number of pants.

Question 2 Easy

If there are 4 fruits and 2 toppings, how many different fruit salads can you create?

💡 Hint: Use the Product Rule for independent choices.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

How many ways can you assign 3 unique tasks to 2 employees if each task must be done by a different employee?

6
3
12
2

💡 Hint: Think about the choices per task.

Question 2

True or False: The Product Rule applies only when tasks are dependent on each other.

True
False

💡 Hint: Recall the definition of independent tasks.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A company has 4 distinct products to distribute and can choose 2 different stores to sell them. How many ways can these products be assigned to the stores?

💡 Hint: Use the Product Rule for independent choices.

Challenge 2 Hard

You are tasked with forming a committee of 3 members from a group of 6 people. Then you also need to select a leader from those 3. How many distinct committees can be formed?

💡 Hint: Break down the steps into tasks for the committee, then apply the Product Rule.

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