Practice - Pigeonhole Principle Application
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Practice Questions
Test your understanding with targeted questions
What does the Pigeonhole Principle state?
💡 Hint: Think about how items can be grouped.
Give an example of a strictly increasing sequence.
💡 Hint: Each term should be larger than the previous term.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Pigeonhole Principle guarantee?
💡 Hint: Think about how items can be distributed.
True or False: Every sequence of 4 distinct numbers must have an increasing subsequence of length 3.
💡 Hint: Try arranging 4 numbers differently.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a set of numbers {6, 2, 4, 8, 7}, find all increasing subsequences of at least length 3.
💡 Hint: Use combination of mappings to construct new subsequences.
Show that for any set of 10 distinct integers, there must exist an increasing subsequence of length 4.
💡 Hint: Consider the distribution of integers in ranges.
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Reference links
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