Practice Subsequence Existence (18) - Subsequence Existence - Discrete Mathematics

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9 questions

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6 sample questions

Question 1.
Define a subsequence.
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Think about maintaining the original order.
Question 2.
True or False: A subsequence must include all elements of the original sequence.
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Consider what it means to 'skip' elements.
3Question 3.
What is a subsequence?
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Think of it like picking items from a list.
4Question 4.
True or False: Every sequence has multiple possible subsequences.
- True
- False
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Remember that we can skip elements to form new sequences.
Question 5.
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.
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Utilize combinatorial reasoning to pair heights effectively.
Question 6.
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.
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Consider where the new element would naturally fit within the existing sequence.

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