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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the minimum age sum possible with 9 ages ranging from 18 to 58?
💡 Hint: Consider the smallest age in the range.
Question 2
Easy
What does the pigeonhole principle state?
💡 Hint: Think about distributing objects.
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 does the pigeonhole principle help us demonstrate?
- Guarantee unique groups
- Guarantee equal sums in groups
- Guarantee overlap in groups
💡 Hint: Think about the basic requirement of pigeonhole.
Question 2
True or False: If there are 9 ages, it's possible to have unique sums for each group.
- True
- False
💡 Hint: Consider limits of age grouping.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Create a strategy for finding disjoint groups among any set of ages, where you are given distinct ages ranging from a different minimum to a maximum.
💡 Hint: Break down ages into pairs and work through combinations.
Question 2
If there are 12 students aged 18-60, how would you utilize the pigeonhole principle to confirm shared sum age groups?
💡 Hint: Iterate through subsets systematically.
Challenge and get performance evaluation