Practice - Disjoint Group Sums
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Practice Questions
Test your understanding with targeted questions
What is the minimum age sum possible with 9 ages ranging from 18 to 58?
💡 Hint: Consider the smallest age in the range.
What does the pigeonhole principle state?
💡 Hint: Think about distributing objects.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the pigeonhole principle help us demonstrate?
💡 Hint: Think about the basic requirement of pigeonhole.
True or False: If there are 9 ages, it's possible to have unique sums for each group.
💡 Hint: Consider limits of age grouping.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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