Practice Sum Rule - 10.3 | 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

10.3 - Sum Rule

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

How many ways can you choose a single member from a group of 5 students and 3 faculty?

💡 Hint: Add the two groups' counts together.

Question 2

Easy

A school has 10 basketball players and 4 soccer players. How many ways to choose one player?

💡 Hint: Consider only selecting one player from each sport.

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 is the total number of ways to choose one committee member from 6 students and 4 faculty?

  • 10
  • 12
  • 6

💡 Hint: Add the available representatives together.

Question 2

True or False: The Sum Rule applies to cases where scenarios overlap.

  • True
  • False

💡 Hint: Remember that we cannot have overlaps.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A password requires either 6, 7, or 8 characters. Each character can be either a digit, uppercase letter, or a special character. How many valid passwords can be formed given that the count of digits must be at least one?

💡 Hint: Use Product Rule first to find total possible combinations, and subtract invalid ones.

Question 2

In a survey, if 50 people prefer coffee, 20 prefer tea, and both groups dislike each other, how many distinct preferences can be counted?

💡 Hint: Always check if the groups can be simultaneously counted before summing.

Challenge and get performance evaluation