Practice - Cardinality of Set B
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Practice Questions
Test your understanding with targeted questions
What is the cardinality of Set A for n=3?
💡 Hint: Use the formula C(2n, n).
How do you define a bad sequence?
💡 Hint: Consider the properties of 1s and -1s.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the correct formula for the number of sequences in set A?
💡 Hint: Look for the definition of set A.
Does a bad sequence have no negative partial sums?
💡 Hint: Recall the definition of bad sequences.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Determine and prove the relationship between Catalan numbers and balanced parenthesis sequences.
💡 Hint: Consider how bounding conditions on sequences relate to parentheses.
Using the reflection method, demonstrate the equality of set B and set C through an example with n=3.
💡 Hint: Work through each bad sequence step-by-step in transforming it.
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