Practice - Basic Rules of Counting
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Practice Questions
Test your understanding with targeted questions
Using the product rule, if you have 2 flavors of ice cream and 3 types of cones, how many combinations can you create?
💡 Hint: Multiply the number of ice cream flavors by the number of cones.
If you have 4 shirts and can choose to wear either a tie or not, how many options do you have?
💡 Hint: Consider each shirt with two choices: with a tie or without.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Product Rule in counting describe?
💡 Hint: Think about tasks done sequentially.
True or False: The Pigeonhole Principle states that if you have 10 items placed into 9 containers, at least one container will hold two items.
💡 Hint: Consider containers and items.
1 more question available
Challenge Problems
Push your limits with advanced challenges
You have a choice between 5 appetizers and 7 main courses for a party; how many distinct meal combinations can you create? Now include choosing 2 desserts from 4.
💡 Hint: Break it into parts and multiply.
At a contest, 100 participants are split into 90 different teams. Confirm using the pigeonhole principle that at least one team has more than one participant.
💡 Hint: Think about the overflow concept in containers.
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Reference links
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