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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does a valid sequence of 1s and -1s imply?
💡 Hint: Think about summation and how it behaves.
Question 2
Easy
Calculate C(4, 2).
💡 Hint: This is a simple combinatorial count.
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 the formula for the total number of sequences of n 1s and -1s?
- C(2n
- n)
- C(2n
- n+1)
- C(2n
- 0)
💡 Hint: This is basic combinatorics — think pairs!
Question 2
True or False: Bad sequences maintain non-negative sums.
- True
- False
💡 Hint: Reflect on our definition of bad sequences.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider the sequence S = {1, -1, 1, -1, -1, 1}. Show it's a bad sequence and demonstrate what its reflection would look like.
💡 Hint: Trace through the negative point.
Question 2
Find the number of valid sequences for n=4 and explain why they are equivalent to C(8, 4) - C(8, 5).
💡 Hint: Break it down into visual paths.
Challenge and get performance evaluation