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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a bad sequence in the context of sequence S.
💡 Hint: Think of sequences that do not meet the criteria of non-negative sums.
Question 2
Easy
What is the cardinality of set A?
💡 Hint: Remember this set includes all combinations of the 1s and -1s.
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 describes a bad sequence?
- Has no negative sums
- Has at least one occurrence of a negative sum
- Is a sequence of only 1s
💡 Hint: Think about what makes a sequence invalid.
Question 2
True or False: The reflection method creates an injective mapping.
- True
- False
💡 Hint: Reflect on the one-to-one relationship established by this process.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Design a sequence of length 6 involving three 1s and three -1s. Show it's a bad sequence and apply the reflection method to construct S'. What results do you observe in the reconstruction?
💡 Hint: Make sure to track where your sums dip low.
Question 2
Apply subtractive counting to establish a scenario problem with n=5. Create conditions to define valid versus invalid sequences, and derive overall conclusions from counts.
💡 Hint: Think of it like evaluating checks and balances within defined counting principles.
Challenge and get performance evaluation