Practice Hasse Diagrams (23.3) - Partial Ordering - part A - Discrete Mathematics - Vol 1
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Hasse Diagrams

Practice - Hasse Diagrams

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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