Practice Definition Of Total Ordering (23.2.10) - Partial Ordering

Practise this section

8 questions

Flashcard drill
5 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Define total ordering in your own words.
Show hintHide hint
Think about relationships in sets.
Question 2.
What property states that A ≤ A?
Show hintHide hint
It's about self-relation.
3Question 3.
Which of the following is an example of total ordering?
- The subset relation
- Less than or equal relation
- Divides relation
Show hintHide hint
Consider which relationships have definite comparisons.
4Question 4.
True or False: Total ordering can have incomparable elements.
- True
- False
Show hintHide hint
Think about what totality means in terms of element comparison.
Question 5.
Consider the set {1, 2, 3, 4}. Identify and justify which ordering relations classify it as a total order.
Show hintHide hint
Write out comparisons for pairs and check connectivity.
Question 6.
Find a set where divisibility does not provide total ordering. Explain the elements and relationships.
Show hintHide hint
Think of how some numbers do not relate under the divides relation.

4 more questions in this section. Enroll free to practise them all.