Practice Achieving Disjoint Groups - 18.2.2 | 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: What does it mean to retain the order within a sequence?

Question 2

Easy

Provide an example of a strictly increasing sequence.

💡 Hint: Think of a sequence where every number increases.

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 defines a subsequence?

  • It's a consecutive sequence from a parent sequence
  • It's any selection from a sequence
  • Only distinct numbers form a valid subsequence

💡 Hint: Focus on how order is maintained in selections.

Question 2

True or False: Every set of n+1 distinct numbers can form disjoint groups with the same sum.

  • True
  • False

💡 Hint: Consider how subsets could overlap.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a list of ten distinct real numbers, demonstrate how to find a strictly increasing or decreasing subsequence of length five.

💡 Hint: Look for numbers that maintain their order during selection.

Question 2

Assume you have six distinct real numbers between 1 and 10, find pairs ensuring that shared values from any disjoint subsets yield the same sum.

💡 Hint: Focus on the combinations that lead to shared outcomes.

Challenge and get performance evaluation