Practice - Surjective Mapping Proof
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Practice Questions
Test your understanding with targeted questions
Define a bad sequence in terms of 1s and -1s.
💡 Hint: Think about the conditions that need to be met for a sequence to be valid.
What is the binomial coefficient for selecting 2 from 4?
💡 Hint: Recall the formula for binomial coefficients C(n, k) = n! / (k!*(n-k)!), where ! denotes factorial.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What characterizes a surjective mapping?
💡 Hint: Focus on the relationship between domain and codomain.
True or False: A 'bad' sequence has no negative partial sums at any position.
💡 Hint: Go back to the definition of a bad sequence.
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Challenge Problems
Push your limits with advanced challenges
Given n = 3, calculate the exact number of valid sequences and explain your methodology.
💡 Hint: Break down into steps—first count all, then reflect negative sequences.
If you were to find patterns among valid sequences, describe the fundamental properties that emerge when using reflective methods.
💡 Hint: Consider how alterations in each step lead to consistent patterns in counts.
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Reference links
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