Practice Hasse Diagrams - 23.3 | 23. Partial Ordering - part A | Discrete Mathematics - Vol 1
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.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a partial ordering using your own words.

💡 Hint: Check the characteristics we discussed.

Question 2

Easy

Give an example of a partial ordering.

💡 Hint: Think of how you would arrange something alphabetically.

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 property ensures that every element relates to itself in a partial ordering?

  • Antisymmetry
  • Reflexivity
  • Transitivity

💡 Hint: Think about the basic rules of relations.

Question 2

In a Hasse diagram, which edges can be omitted?

  • Self-loops
  • Transitive edges
  • Both A and B

💡 Hint: Review how to construct a Hasse diagram to answer.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a set of numbers {1, 2, 3, 4}, determine if the set under the divide relation (|) is a partial ordering.

💡 Hint: Check each pair of numbers for divisibility.

Question 2

Create a Hasse diagram for the powerset of {X, Y} and explain how you derived it.

💡 Hint: Count the total subsets and remember the relationships.

Challenge and get performance evaluation