Practice Question Number 10 (14.1.5) - Lecture -14 - Discrete Mathematics - Vol 1
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Question Number 10

Practice - Question Number 10

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Practice Questions

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Question 1 Easy

Define a celebrity in the context of the party problem.

💡 Hint: Recall the definition given in class.

Question 2 Easy

Can there be more than one celebrity in a party? Explain.

💡 Hint: Think about the implications of mutual recognition.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the definition of a celebrity?

💡 Hint: Recall the characteristics discussed in class.

Question 2

How many unique questions are required to verify a celebrity among n guests?

n-1
2n-2
3n-1

💡 Hint: Consider how each guest's relationship affects the total queries needed.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design an algorithm that takes a list of n guests and identifies any potential celebrities among them, ensuring it operates within the 3n-1 limit for questions.

💡 Hint: Consider narrowing down your potential candidates significantly with each query.

Challenge 2 Hard

If three guests know each other, explain why no one among them can be identified as the celebrity following the proof's logic.

💡 Hint: Evaluate their relationships critically against the definition provided.

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