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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
List all distinct pairs of integers from the set {1, 2, 3, 4, 5, 6, 7, 8} that sum to 9.
💡 Hint: Pair numbers that add up to 9.
Question 2
Easy
If you select the integers 1, 2, 4, 5, what pair (if any) will sum up to 9?
💡 Hint: Consider the remaining integers in your set.
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
How many distinct pairs can sum to 9 from the set {1, 2, 3, 4, 5, 6, 7, 8}?
- 2
- 4
- 8
💡 Hint: Count available combinations.
Question 2
If you choose the integers 1, 4, and 7, will there be at least one pair summing to 9?
- True
- False
💡 Hint: Think about missing integers to round out your selected numbers.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If you randomly select 7 integers from the set {1, 2, 3, 4, 5, 6, 7, 8}, can you guarantee at least one sum of 9? Justify your answer using the pigeonhole principle.
💡 Hint: Refer back to the pairs you have established.
Question 2
If a new integer 9 was added to the set, how would that change the original proof regarding sums to 9? Discuss and reason.
💡 Hint: Think about how to create new pairs with the existing numbers.
Challenge and get performance evaluation