Practice Achieving Disjoint Groups (18.2.2) - Subsequence Existence - Discrete Mathematics

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6 sample questions

Question 1.
Define a subsequence?
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What does it mean to retain the order within a sequence?
Question 2.
Provide an example of a strictly increasing sequence.
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Think of a sequence where every number increases.
3Question 3.
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
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Focus on how order is maintained in selections.
4Question 4.
True or False: Every set of n+1 distinct numbers can form disjoint groups with the same sum.
- True
- False
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Consider how subsets could overlap.
Question 5.
Given a list of ten distinct real numbers, demonstrate how to find a strictly increasing or decreasing subsequence of length five.
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Look for numbers that maintain their order during selection.
Question 6.
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.
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Focus on the combinations that lead to shared outcomes.

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