Practice Universally Quantified Statement (17.7.1) - Module No#08 - Discrete Mathematics

Practise this section

10 questions

Flashcard drill
4 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
4 questions · about 3 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is a universally quantified statement?
Show hintHide hint
Think about statements that include 'for all'.
Question 2.
State the pigeonhole principle in your own words.
Show hintHide hint
Consider how items might be distributed.
3Question 3.
What is a universally quantified statement?
- A statement that applies only to specific cases
- A statement that applies to some elements
- A statement that applies to all members of a set
Show hintHide hint
Focus on the term 'universally'.
4Question 4.
True or False: In the pigeonhole principle, if you have 10 items and 5 holes, at least one hole must contain more than two items.
- True
- False
Show hintHide hint
Think about how you'd distribute the items.
Question 5.
Construct an example using integers 1-20, applying the pigeonhole principle to select numbers summing to a multiple of 10.
Show hintHide hint
Think of the digits when adding.
Question 6.
Seek patterns within any integer set, using the example of k=4 to show that a sequence created has values composed only of 0s and 1s.
Show hintHide hint
Focus on constructing sequences with repeating patterns.

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