Practice Basic Rules of Counting - 10 | 10. Basic Rules of Counting | Discrete Mathematics - Vol 2
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Typing
Memory
Math
English Adventures
Knowledge

10 - Basic Rules of Counting

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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.

Question 2

Easy

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.

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

What does the Product Rule in counting describe?

  • Adding choices
  • Multiplying sequences of independent choices
  • Finding overlaps

💡 Hint: Think about tasks done sequentially.

Question 2

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.

  • True
  • False

💡 Hint: Consider containers and items.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation