Practice Counting Bad Strings (16.2.1) - Valid Sequences Analysis - Discrete Mathematics - Vol 2
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Counting Bad Strings

Practice - Counting Bad Strings

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a bad binary string?

💡 Hint: Think about the definition of bad strings.

Question 2 Easy

How many binary strings are there of length 1?

💡 Hint: Count the combinations.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines a bad string?

Contains '000'
Starts with 1
Ends with 0

💡 Hint: Consider the definition.

Question 2

Is g(n) defined as the count of good strings?

True
False

💡 Hint: Recall the definitions.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that f(n) is equal to 2^n - g(n) for n > 2.

💡 Hint: Start with base cases like n=3 and n=4.

Challenge 2 Hard

Calculate the number of bad strings for n=5.

💡 Hint: Remember to sum prior g(n) values and recalculate 2^5.

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Reference links

Supplementary resources to enhance your learning experience.