Practice Subsequence Existence - 18 | 18. Subsequence Existence | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a subsequence.

💡 Hint: Think about maintaining the original order.

Question 2

Easy

True or False: A subsequence must include all elements of the original sequence.

💡 Hint: Consider what it means to 'skip' elements.

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 is a subsequence?

💡 Hint: Think of it like picking items from a list.

Question 2

True or False: Every sequence has multiple possible subsequences.

  • True
  • False

💡 Hint: Remember that we can skip elements to form new sequences.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

In a given sequence of 10 distinct heights of people, demonstrate the existence of either an increasing or decreasing subsequence of at least 5 heights.

💡 Hint: Utilize combinatorial reasoning to pair heights effectively.

Question 2

Prove that if you add an element to a sequence already with a defined increasing subsequence, it can either enlarge that subsequence or create a new one.

💡 Hint: Consider where the new element would naturally fit within the existing sequence.

Challenge and get performance evaluation