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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the Pigeonhole Principle state?
💡 Hint: Think about how items can be grouped.
Question 2
Easy
Give an example of a strictly increasing sequence.
💡 Hint: Each term should be larger than the previous term.
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 guarantee?
- It guarantees a unique solution.
- It guarantees duplicates in containers.
- It guarantees an increasing subsequence.
💡 Hint: Think about how items can be distributed.
Question 2
True or False: Every sequence of 4 distinct numbers must have an increasing subsequence of length 3.
- True
- False
💡 Hint: Try arranging 4 numbers differently.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation